Length, Perimeter and Area - Grade 5...

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Student Book SERIES F Name _____________________________________ Length, Perimeter and Area

Transcript of Length, Perimeter and Area - Grade 5...

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Student BookSERIES

FN

ame

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Length, Perimeter and Area

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Copyright ©

Series F – Length, Perimeter and Area

Contents

Topic 1 – Units of length (pp. 1–8)

• m, cm, mm ___________________________________________

• findandorderlength ___________________________________

• metrestokilometres ___________________________________

• spotthedistance–apply ________________________________

• wordproblems–solve__________________________________

Topic2–Travellingfar(pp.9–16)

• measuredistances _____________________________________

• mapsandscale _______________________________________

• speedanddistance ____________________________________

• flagit!–apply ________________________________________

• the city to school – create _______________________________

Topic3–Perimeter(pp.17–24)

• perimeterofshapes____________________________________

• calculateperimeter ____________________________________

• constructshapes ______________________________________

• perimeterproblems–solve ______________________________

• moreperimeterproblems–solve _________________________

Topic4–Area(p.25-32)

• introducingarea _______________________________________

• areaoftriangles _______________________________________

• hectaresandsquarekilometres __________________________

• areaandperimeter ____________________________________

• areapuzzles–solve ____________________________________

• compositecalculations–apply ___________________________

Date completed

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Series Authors:

Rachel Flenley

Nicola Herringer

Please note: Thesepageshavebeendesignedtoprintto‘shrinktoprintablearea’asthisisacommondefaultsettingonmanycomputers.Theremaybeminordiscrepancieswithmeasurementsasindividualprintersandphotocopiersprinttoslightlydifferentproportions.

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Length, Perimeter and Area

Estimate and then measure these lengths. Which unit will you use?

Object Estimate Measure

a Heightofadesk

b Shouldertothefingertips

c Widthofthedoor

d Handspan

e Pencilsharpener

f Widthofafingernail

g A4paperlength

a

20

d

13

b

14

e

2

c

4

f

28

Complete the measure of each item below by adding either mm, cm or m next to the number:

Theseunitsofmeasurementareused regularlyineverydaylife.

10 mm = 1 cm 100 cm = 1 m 1000m =1km

Units of length – m, cm, mm

2

1

It makes sense to say 3 metres instead of 300 centimetres.

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Length, Perimeter and Area

0 cm 51 6 102 7 113 8 12 14 154 9 13

Convert these lengths to metres:

Convert these lengths to metres:

Convert these lengths to centimetres:

Convert these lengths to millimetres:

Thisconversionboxcanhelpyou convertunitsoflength.

4

5

3

6

m mmcm

× 100

÷ 100

× 10

÷ 10

× 1 000

÷ 1 000

Units of length – m, cm, mm

To convert from mm to cm, divide by 10.

To convert from cm to mm, multiply by 10.

To convert from mm to m, divide by 1 000.

a 5cm = mm

d 7cm = mm

b 3 cm = mm

e 11 cm = mm

c 9cm = mm

f 15cm= mm

a 50mm = cm

d 15mm = cm

b 20 mm = cm

e 156mm = cm

c 223 mm = cm

f 495mm = cm

a 300 cm = m

d 900cm = m

b 500cm = m

e 2 000 cm = m

c 250cm = m

f 4550cm= m

a 1 000 mm = m

c 4500mm= m

b 5000mm= m

d 500mm = m

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Length, Perimeter and Area

Look carefully at how each shape is divided and find the missing length:

a

b

c

d

Units of length – find and order length

1

Don’t forget to check your answers match the units.

1 m

30 cm cm

3 m

150cm cm

200 cm

60cm cm

100 cm

30 cm 20 cmm

Convert all the lengths to the same unit.

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Length, Perimeter and Area

Mr Marlowe’s class went on an excursion to the circus. He asked his pupils to guess the height of a clown on stilts. Fill in the missing heights:

Here is a list of some objects and their heights. Put them in order from shortest to tallest:2

3

door

flagpole

fridge

ladybird

tree

giraffe

1.95m

16m

145cm

2 mm

11 m

457cm

1 ______________________

2 ______________________

3 ______________________

4 ______________________

5 ______________________

6 ______________________

Shortest

Tallest

Name Height of the Clown on Stilts

Peter 3 m 30 cm 3.3 m

Sara 415cm 4.15m

Omar 3m64cm 3.64m

Julia 397cm 3.97m

Heba 4m9cm 409cm

It turned out that the clown was 3 m and 58 cm tall.

a Whohadtheclosestguess? _______________

b Howfaroffwasthisperson? _______________

c Whatwasthedifferencebetween thehighestandthelowestguess? _______________

d Writeyourheightandfindthetwopeopleinyourclasswhoareclosesttoyourheight.

Units of length – find and order length

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Length, Perimeter and Area

a

d

b

e

c

f

a

d

b

e

c

f

Whichunitsofmeasurementdowealreadyknowabout?

1km =1000m

1m =0.001km

100m =0.1km

Units of length – metres to kilometres

Write these lengths in kilometres:

Write these lengths in metres:

Which is shorter? Circle the shorter distance:

Which is longer? Circle the longer distance:

2

Would you use metres or kilometres to measure the following lengths?1

a Driveway

c Heightofyourhouse

e DistancefromEarthtotheMoon

b DistancefromLondontoEdinburgh

d Amarathonrace

f Lengthoftheschoolplayground

2kmor2220m

300kmor2500m

0.58kmor600m

0.85kmor800m

3.2kmor3100m

1900mor2.9km

0.75kmor0.79km

1.58kmor1600m

560mor0.565km

855mor0.875km

5.5kmor5600m

7.25kmor7200m

3

4

5

To convert from km to m, multiply by 1 000. To convert from m to km, divide by 1 000.

a 2 000 m = km

d 1500m = km

b 5000m = km

e 3645m = km

c 8 000 m = km

f 1747m = km

a 3km = m

d 0.5km= m

b 7km = m

e 3.7km= m

c 4km = m

f 8.2km= m

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Length, Perimeter and Area

Fill in the boxes to answer these word problems:

a Abdulwalked0.4ofakilometre,Sarawalked20metresandKaitlynwalkedhalfakilometre. Writetheirnamesintheboxesbelowtoshowhowfareachofthemwalked.

b Ina10kmfunrunevent,Omarstoppedafter612 km,Peterstoppedafter8000mandHeidistopped

10mbeforetheend.Writetheirnamesintheboxesbelowtoshowhowfareachofthemran.

c Lengwalked250mtothebusstop,andthenrodethebusfor3kmtothebeach.Whenshearrivedatthebeachshewentfora4kmjogbythesea.

How many metresdidshetravelaltogether?

km + km + km = m

7

Mark these lengths in metres on the line below. The first one has been done for you.6

0km 1km

0km 10km

100 m

1000metres600metres

0km 1km

200metres400metres 800metres100metres

Units of length – metres to kilometres

I have to convert here!

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Length, Perimeter and Area

What to do

Spot the distance apply

Thisisanestimatinggamefortwoplayers.

•Thefirstplayerchoosestwospots.

•Thesecondplayerestimatesthedistancebetweenthespotsinmm.Measurefromeachspot’sedge.

•Thesecondplayerdrawsalinebetweenthespotsandthenmeasuresthedistancewiththeirruler.Theyscore100pointsfortherightanswer,40pointsforanestimatewithin10mm,and20pointsforanestimatewithin20mm.

•Thesecondplayerpickstwospotsforthefirstplayer.

•Theplayerwiththemostpointsafter10roundswins!

1 2

3

4

6

9

7

5

8

10

12

15

13

14

11

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Length, Perimeter and Area

a Ifthereare60brochuresinastackandeachofthemare8mmthick,howhigh isthestack?

b Aplankofwoodis5mlong.If150cmissawnoff,howmuchisleft?

c Howmany20mmpiecesofgoldwirecanbecutfrom1m?

d Ifafingernailgrows2mmaweek,howmanycmwoulditgrowin1year?

e OnedayIbought3sherbetsticks.Theirlengthswere0.75m,50cmand75cm.Whatwasthetotallength?Ifsherbetstickscost$2ametre,howmuchdidIspend?

What to do

Word problems solve

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Length, Perimeter and Area 2

a SunsetCovetoSandyBeach km

b MelodyPointtoSharkCliff km

c RecklessRockstoLagunaBeach km

d MelodyPointtoSandyBeachviaSharkCliff km

e LagunaBeachtoSharkCliffviaMelodyPoint km

Travelling far – measure distances

Write these distances in decimal notation:

Write these distances in metres:

Look carefully at Mermaid Island and work out how long these walking trails are. Record all answers in kilometres.

1

2

3

Shark Cliff

Sandy BeachSunset Cove

Reckless Rocks

Laguna Beach

Melody Point1245m

1572m

980m390m

415m712m

To convert from m to km, divide by 1 000.

a 2km123m = km

c 2km245m = km

e 8km145m = km

g 835m = km

b 4km235m = km

d 5km235m = km

f 8km23m = km

h 593m = km

a 3.6km = m

d 9.3km = m

g 5.6km = m

b 2.8km = m

e 8.2km = m

h 0.2km = m

c 0.6km = m

f 7.1km = m

i 0.1km = km

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Length, Perimeter and Area2

Roadmapssometimeshavethedistancebetweentownswrittenontheroadthatconnectsthem.Thisinformationhelpsyouplanyourjourney.

Travelling far – measure distances

Here is a page from Hannah’s journal where she has noted the places she went to during a road trip with her family. Add the distances that they travelled each day.

What is the total distance that Hannah and her family travelled? Show all of your working below. km

4

5

Day 1TodaywelefthomeatPlymouthanddrovestraighttoBournemouth. km

Day 2WeleftBournemouthafterbreakfastthenwehadlunchinMaidstone. WestayedthenightinCambridge. km

Day 3WedrovetoNottinghamtofindoutaboutgettinganewpuppy! km

Day 4Wehadtoleaveearlythismorningasitturnsoutthepuppywewantis inChester.

km

Day 5Ournewpuppyisaboy!WenamedhimChester,afterthetownhecamefrom. WedecidedtotravelbacktoNottinghamtoshowChestertoourcousins. km

Day 6TodaywedroveallthewayfromNottinghamtoBath.Dadwantedto keepgoingtillwegothomebutmummadehimstop. km

Day 7Todaywedrovetherestofthewayhome. km

173 km

145 km

135 km

223 km

200 km

232 km

70 km

261 km

Chester

Nottingham

Stroud

Bath

Plymouth

Bournemouth

Maidstone

Cambridge

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Length, Perimeter and Area 2

Now, suppose the scale is 1 cm = 1 km. What is the shortest distance by road from:

a thefirestationtothepark? km

b theparktohome? km

c hometotheshop? km

Scaleisusedtoshowlongdistancesonamap.

Thismakesiteasierforustotranslatedistanceonamaptodistanceintherealworld.

Travelling far – maps and scale

What is the shortest distance by road from:

a hometoschool? m

b hometothepark? m

c thefirestationtotheshop? m

d theschooltothefarm? m

e hometotheshop? m

f Drawyourownrouteonthemap. Whichlandmarksdoyougopast? _______________________________________________________

Whatisthetotaldistanceofyourroute?

1

2

Use this map to answer the questions below. Look carefully at the scale.

1 cm

schoolhome

fire station

park

shop

farm

1 cm = 100 m

SCALE:

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Length, Perimeter and Area2

Complete this table using a scale of 1 cm = 6 m:

Use this map* of a train route to answer the questions using this scale 4 cm = 10 km:

Complete this table using a scale of 1 cm = 3 cm:

Use the scale of 1 cm = 2 m to draw these lines in the boxes:3

4

5

6

Scale length in cm 2 5 15 4 6 9 10 8 12 7

True length in cm

Scale length in cm 5 10 15 7 12 9 11 2 8 6

True length in m

a WhatisthedistancefromStop1toStop2? km

b WhatisthedistancefromStop4toStop5? km

c WhatisthedistancefromStop2toStop5? km

d Whatisthetotaldistanceofthistrainroute? km

Stop 1Stop 2

Stop 3Stop 4

16 cm

4 cm 4 cm

8 cm

20 cmStop 5 Stop 6

Travelling far – maps and scale

*Not drawn to scale.

a 22 m

b 16m

c 9m

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Length, Perimeter and Area 2

If a car travelled 950 km in 10 hours, show how long it took to travel half way:

If a car travelled 560 km in 8 hours, work out how far it travelled in half an hour and in 4 hours:

If a car travelled 300 km in 6 hours, work out how far it travelled in 2 hours and in 3 hours:

Look at these distances and the time it took. Work out the speeds. Express your answer as km/h:

Travelling far – speed and distance

Speedcanbemeasuredinkilometresperhour.

60kmperhourmeansthatittakes1hourtotravel60kmandiswrittenas60km/h.

1

2

3

4

0km

0km

560km

0km 300km

2hours

halfanhour

3hours

4hours

hours 10hours

1hr=__________

1hr=__________

1hr=__________

To work these out, you need to first calculate what can be covered in 1 hour and then multiply and divide as needed.

a 76kminanhour = km/h

c 100kmin2hours = km/h

e 180kmin3hours = km/h

b 82kminanhour = km/h

d 130kmin2hours = km/h

f 240kmin4hours = km/h

8hours

6hours

950kmkm

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Length, Perimeter and Area2

Travelling far – speed and distance

If a snail travels 6 mm in 10 minutes, how far will it travel in 1 hour?

If a car was travelling 60 km/h, how far would it have travelled after 10 minutes?

Harriet walks at a speed of about 4 km/h. How long would it take for her to walk 20 km?

If a truck was travelling 80 km/h, how long would it take for the truck to travel 560 km?

Rahed is training for a 40 km marathon. He runs at an average speed of 6 minutes a km. What time can he expect to finish the marathon in?

5

6

7

8

9

You need to convert the total minutes into hours.

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Length, Perimeter and Area 2

Usethespacebelowtoshowyourrouteandcalculatethedistanceyoucoverbetweentowns.

What to do next

What to do

Getting ready

Flag it! apply

90

85

25

60

115

40

40

40

40

50

140

35

50

20

20

30

Olinda Echoville

Stoling

York

Chelsea

Milltown

Bontern

A

BRainbow Point Flagstuff

Trenton

Simonstown

Onyourmarks,getset,go!Youareabouttoparticipateinaracetocollectasmanyflagsaspossibleinlessthan400km.

1 StartatPointA.

2 WorkouthowyouwillgettoPointBcollectingasmanyflagsasyoucanatvarioustownsalongtheway.Useacalculatortohelpyouaddthedistances.

3 Youneedtodecideonyourroute.Youmaynotexceed400km.

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Length, Perimeter and Area2

What to do next

Onceyouthinkyouareready,submityourplanstoyourteacher.Stageyourevent.

Askyourteacherandtheothergroupsfortheirfeedback.

What to do

Getting ready

The City to School create

Yourgrouphasbeenhiredbyyourfavouritecharity toorganisea1kmfunrunatyourschool.

Youwillplanandmeasureoutthecourseandthen getanothergrouptotestoutyourrun.

Therunneedstobeexactly1kilometreinlength. You’llneedmarkersateach100mpoint.

Schoolrulesmustbefollowed.Youmayneedtoplacesignsindicatingspeedsforinsidejourneys.

Thecharityorganiserswillneeddetailedplansofyourrouteandhaveaskedyourteachertobetheirauditor.Heorshemaycheckonanyorallofyourcalculations.

•Workwithyourteamtoplantheroute.Wheredoyoupredict1kmwilltakeyou?(Youhavetostaywithintheschoolgroundsatalltimes.)

•Howwillyoumeasurethedistances?Whattoolswillyouneed?

•Ifyouaddobstaclessuchasclimbingoverequipment,remembertofactorinthedistancesinvolvedingoingupanddown!

•Onceyouhaveyourrouteplanned,testitout.Isitpossible?Doyouneedto refineit?

•Howwillyourecordtherouteforyourcharity?Amap?Ascaleddrawing?Thisis abigtaskinitselfsoyoumaywanttodivideuptheroleswithinthegroup.

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Length, Perimeter and Area 3

d

P = cm

e

P = cm

a

P = cm

b

P = cm

c

P = cm

Draw the following shapes and work out their perimeters:

c Arectanglethatistwiceaslongasitiswide.

P =

Perimeteristhelengtharoundtheoutsideofashape.

Perimeter – perimeter of shapes

Theperimeterofthesquareis8cm. Theperimeteroftherectangleis10cm.

These shapes are not to scale, so you can’t use your ruler to work out the perimeter. Can you find the perimeter of these shapes?

1

2

2 cm

2 cm

2 cm 2 cm

3 cm

3 cm

2 cm 2 cm

7cm

2 cm1 cm

5cm

7cm

1 cm

6cm

8 cm

9cm

9cm

a Asquarewith3cmsides.

P = cm

b Arectanglewithtwo4cmsidesand two3cmsides.

P = cm

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Length, Perimeter and Area3

a

d

b

e

c

6cm 4cm

4cm3 cm5cm

Find the perimeter of these regular polygons*:

The perimeters of some regular polygons are given in the table below. Fill in the length of the sides:

Theseregularpolygons*havesidesofequallengths.

Perimeter – perimeter of shapes

3

4

Perimeter 24cm 40cm 48cm 25cm

Length of each side

*Not drawn to scale.

2 cmP = 16 cm

2 cmP = 10 cm

1 cmP = 6 cm

1 cmP = 4 cm

What is the fastest way to do this?

P = cm

P = cm

P = cm

P = cm

P = cm

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Length, Perimeter and Area 3

a

b

c

e

g

d

f

h

Perimeter – calculate perimeter

Find the perimeter of these shapes. Choose a unit of measurement to express your answer.1

20 cm

2 m

40cm

45cm

1.5m

1.8 m

7m2 m

6m

These shapes are all symmetrical. How does that help me?

P =

P =

P =

1.5m

20 cm

P =

3 m

8 m

P =

9m 1 m 3 m

2 m

P =

P =

P =

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Length, Perimeter and Area

a b

c

3

Irregularshapesarenotsymmetrical.Thismeansweneedtomeasureeachside.

2

3

Why? __________________________________________________________________________________

_______________________________________________________________________________________

4m

3 m

6m

14m

9m

Playground A4m

4m

10 m

6m

6m

3 m

Playground B

Perimeter – calculate perimeter

P = cm

P = cm

6cm

3 cm

3 cm

1 cm

1 cm

1 cm

1 cm

2 cm

2 cm

4cm

Find the perimeters of these irregular shapes:

P = cm

1 cm

3 cm

4cm

2 cm

2 cm

3 cm

3 cm

2 cm

Which of these designs for playgrounds would be the least expensive to fence?

1 cm

1 cm

2 cm

1 cm

3 cm

4cm

3 cm

5cm

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Length, Perimeter and Area 3

Look carefully at this hexagonal grid. If the side of each hexagon is 2 m, what is the perimeter of the shaded area?

P = Number of sides × 2

P = 26 × 2

P = 52 m

Perimeter – construct shapes

Use this 1 cm dot paper to draw some shapes with different perimeters.1

a Shadethehexagonstoconstructashape withaperimeterof36m.

b Shadethehexagonstoconstructashape withaperimeterof60m.

2 m

2 m 2 m

2

a Drawarectanglewithaperimeterof12cm.

c Drawarectanglewithaperimeterof16cm.

b Drawarectanglewithaperimeterof20cm.

d Drawarectanglewithaperimeterof10cm.

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Length, Perimeter and Area3

On the left is a staircase shape. Use the 1 cm dot paper to redraw the shape so that the perimeter is twice as big:

Now draw another version with the perimeter three times as big:

3

1 cm

4

Perimeter – construct shapes

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Length, Perimeter and Area 3

What to do

Perimeter problems solve

a Thelengthofarectangleisdoubleitswidth.Findtheperimeterifthewidth is 200 cm.

b Thelengthofarectangleis6timesitswidth.Findthelengthandwidthoftherectangleiftheperimeteris7metres.

c Charlieranaroundtheschool3times.Howfardidsherun?Writeyouranswer inkm.

d Jakewantstobuildafencearoundhisswimmingpooltocomplywithsafetyregulations.Ifthelengthofhispoolareais6metresandthewidthis4metres,howmuchwillitcost?Fencingcosts$55.50ametre.

100 m

280 m

200 m

40m

300 m

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Length, Perimeter and Area3

What to do

More perimeter problems solve

12 cm

a Theareaofeachsquareis9cm2.Whatistheperimeterofthisfigure?

b Thefigureismadeupof14squares.Eachsquarehasanareaof36cm2. Whatistheperimeter?

c Theareaofthisrectangleis336cm2.Ifallthesmallerrectanglesareexactlythesame,whatistheperimeterofonerectangle?

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Length, Perimeter and Area 4

a

Area= cm2

b

Area= cm2

c

Area= cm2

What is the area of each rectangle? Each square in the grid has an area of 1 cm². Some of the squares have been marked in for you.

d Didyouneedtoseeallthesquarestoworkoutthearea?__________

What is the area of each shaded shape? Each square in the grid has an area of 1 cm².

Shade the grid to show a rectangle with the area of 6 cm².

Area – introducing area

1

2

3

Areaistheamountofspaceashapecovers.Itisa2Dmeasurement.

Wemeasureareainsquareunits.Forsmallareasweusesquarecentimetres. 1 cm

1 cm

a

Area= cm2

b

Area= cm2

c

Area= cm2

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Length, Perimeter and Area4

In each shape*, you are given the area but one side is not labelled. Label the missing side:

Find the areas of these shapes*:

Wecanusethisformulatofindtheareaofrectangles:

Area=length×width

Area=3×5=15cm2

a b c

d e f

a b c

6cm

4cm

2 cm

5cm

2 cm

3 cm

8 m

4m

4cm

4cm

1 cm

4cm

5cm

5cm

3 cm 3 cm

4

5

Area – introducing area

*Not drawn to scale.

Area= cm2

Area= cm2

Area= cm2

Area= cm2

Area= m2

Area= cm2

Area=20m2

4m

Area=14m2

7mArea=24m2

8 m

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Length, Perimeter and Area 4

Find the area of the shaded triangles*:

d

Area= cm2

e

Area= cm2

f

Area= cm2

a

Area= cm2

b

Area= cm2

c

Area= cm2

a

Area= cm2

b

Area= cm2

c

Area= cm2

d

Area= cm2

e

Area= cm2

f

Area= cm2

Find the area of the shaded triangles inside the rectangles*:

Area – area of triangles

Eachtriangleishalfofarectangle.

Tofindtheareaofatriangle,findtheareaoftherectangleandthendividebytwo.

Rectangle=4cm×5cm=20cm²

Triangle=20cm²÷2=10cm²4cm

5cm

1

2

8 cm

3 cm

7cm

4cm

10 cm

3 cm

3 cm

6cm

8 cm

6cm

10 cm

6cm7cm

6cm

8 cm

5cm

2 cm

2 cm

5cm

6cm

2 cm

4cm

6cm

4cm

*Not drawn to scale.

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Length, Perimeter and Area4

Order these European countries from smallest to largest areas:

Find the area of each large area*. Write your answer in hectares.

Hectaresareusedtomeasurelargespacessuchasafootballfield.

Wewritehectaresasha.Onehectareisequalto10000m².

Anevenlargerunitisasquarekilometrekm².Onesquarekilometreisequalto100hectares.

1ha=10000m² 1km²=1000000m²

Area – hectares and square kilometres

1

2

a

Area= hectares

b

Area= hectares

c

Area= hectares

300 m

100 m250m

100 m

120 m

120 m

d

Area= hectares

e

Area= hectares

f

Area= hectares

100 m

450m

200 m

300 m400m

150m

*Not drawn to scale.

UnitedKingdom

Ireland

France

Germany

Spain

Portugal Italy

Greece

Country Area

UnitedKingdom 242900km²

Ireland 70300km²

France 632800km²

Italy 310000km²

Greece 132000km²

Spain 506000km²

Portugal 92100km²

Germany 357000km²

1km²=1000000m²

1 _________________________

4 _________________________

7 _________________________

2 _________________________

5 _________________________

8 _________________________

3 _________________________

6 _________________________

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Length, Perimeter and Area 4

Use the 1 cm grid below to draw three shapes with areas of 10 cm² but with different perimeters. Record the perimeter of each shape:

Use the grid below to draw two shapes with a perimeter of 12 cm but with different areas:

Area – area and perimeter

Find the perimeter and area of each shape:1

2

3

a b

c d

P = __________

A=__________

P = __________

A=__________

P = __________

A=__________P = __________

A=__________

a P = cm b P = cm c P = cm

1 cm

1 cm

1 cm

1 cm

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Length, Perimeter and Area4

Draw 3 different rectangles that have a perimeter of 24 cm and record the area in the table. The first row in the table is a hint of where to start.

Draw as many different rectangles as you can with the area of 36 cm². Label the length of each side:

4

5

Length Width Area

10 2

Area – area and perimeter

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Length, Perimeter and Area 4

What to do

Area puzzles solve

a Howmany1cm²tilesdoIneedtocoverthiswall?

Howmany4cm²tilesdoIneedtocoverthissamewall?

b Howmany2cm²tilesdoIneedto coverawallthatis6cmby6cm?

c Howmany5cm²tilesdoIneedtocoverawallthatis 15cmby5cm?

8 cm

4cm

Solvetheseareapuzzles:

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Length, Perimeter and Area4

d

Area= cm2

e

Area= cm2

f

Area= cm2

a

Area= cm2

b

Area= cm2

c

Area= cm2

What to do next

Drawacompositeshapethathasanareaof50cm².

What to do

Composite calculations apply

Canyoufindtheareasoftheserooms*?Circletheroomthatwouldbecheapest tocarpet.

Putacrossintheroomthatwouldbemostexpensive.

4cm

9cm

12 cm

6cm

8 cm

8 cm

5cm

5cm

3 cm

2 cm

8 cm

1 cm2 cm

6cm6cm

9cm

6cm

3 cm

3 cm

9cm

*Not drawn to scale.

15cm8 cm

7cm

3 cm

11 cm

4cm3 cm

2 cm3 cm