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Complex Shapes

Conversions

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

$100 Question from Formulas

What is the formula for the perimeter for the figure on the right?

b

h

$100 Answer from FormulasThe perimeter is the distance around a figure. The outside edge (walking around the outside).

P = b + h + b + h b

h

$200 Question from Formulas

What is the formula for the area for the figure on the right?

a

b

c

h

$200 Answer from Formulas

The area is the amount of surface covered by a figure in square units. The area inside the figure (the grass in a backyard).

a = b x h DO NOT use a or c you need to

2 use the vertical height!

a

b

c

h

$300 Question from Formulas

What is the formula for the area for the figure on the right?

b

ah

$300 Answer from Formulas

The area is the amount of surface covered by a figure in square units. The area inside the figure (the grass in a backyard).

b

ah

a = b x h (DO NOT use a becausea is not the vertical height- from the bottom to the top) !

$400 Question from Formulas

What is the formula for the perimeter for the figure on the right?

b

c

ha

$400 Answer from Formulas

The perimeter is the distance around a figure. The outside edge (walking around the outside).

P= a + b + cDO NOT use h because that is outside the shape!

b

c

ha

$500 Question from Formulas

What is the formula for the area and perimeter for the figure on the right?

h

b

c

a

$500 Answer from FormulasPerimeter is around the outside.• p = h + b + c + a

Area is the total amount inside.• Area of the rectangle = b x h• Area of the triangle

= (b - a) x h 2

h

b

c

a

Area of the shape = area of rectangle + area of triangle

$100 Question from Perimeter and Area of a Parallelogram

Ashley want to make a frame for her picture that is 6inches wide and 8 inches long. How many inches of frame would Ashley need?

$100 Answer from Perimeter and Area of a Parallelogram

The perimeter is the outside.p = b + h + b + h

p = 6in. + 8in. + 6in. + 8in.p = 28 in.Ashley would need 28 inchesof frame.

6 in.

8 in.

$200 Question from Perimeter and Area of a Parallelogram

What is the perimeter of the figure on the right?

3 cm

8cm

10cm

$200 Answer from Perimeter and Area of a Parallelogram

Perimeter is the outside.p = a + b + a + bp = 3cm + 10cm + 3cm + 10cmp = 26cm

Hint: Use 10cm because it is the outside number

3 cm

8cm

10cm

$300 Question from Perimeter and Area of a Parallelogram

My backyard is a square. One side is 3km wide. How much grass would I need to fill my backyard completely?

$300 Answer from Perimeter and Area of a Parallelogram

Area is the inside.a = b x ha = 3km x 3km a = 9 sq. kmYou would need 9 sq. km of grass.

3 km

The shape is a square

3km

$400 Question from Perimeter and Area of a Parallelogram

What is the area for the figure on the right?

2ft.

5ft7ft

$400 Answer from Perimeter and Area of a Parallelogram

Area is the inside.a = b x ha = 2 ft x 5fta = 10 sq. ftHint: Use 5 because it is the Vertical Height

2ft.

5ft7ft

$500 Question from Perimeter and Area of a Parallelogram

What is the area and perimeter of the figure? 12m

7m9m

$500 Answer from Perimeter and Area of a Parallelogram

Area is inside.a = b x h (vertical height)

a = 12m x 7ma = 84 sq. mPerimeter is theoutside.

p = a + b + a + bp = 12m + 9m + 12m + 9mp = 32m

12m

7m9m

$100 Question from Perimeter and Area of a Triangle

What is the perimeter of the figure? 6 yds

6 yds

6 yds

8yds

$100 Answer from Perimeter and Area of a Triangle

Perimeter is the outside.

p = a + b + cP = 6yds + 6yds + 6yds(Hint: 8yds is inside the triangle)

6 yds

6 yds

6 yds

8yds

$200 Question from Perimeter and Area of a Triangle

What is the area of the figure?

6 yds

4 yds

6 yds

5yds

$200 Answer from Perimeter and Area of a Triangle

Area is the inside.a = b x h (vertical height)

2a = 4 yds X 5 yds

2a = 10 sq. yds

6 yds

4 yds

6 yds

5yds

$300 Question from Perimeter and Area of a Triangle

What is the perimeter of the figure?

8km

12km

10km9km

$300 Answer from Perimeter and Area of a Triangle

Perimeter is the outside. p = a + b + c p = 9km + 8km + 12km = 29km

8km

12km

10km9km

8km

12km

10km9km

$400 Question from Perimeter and Area of a Triangle

What is the area of the figure?

8km

12km

10km9km

$400 Answer from Perimeter and Area of a Triangle

Area is the inside. a = b x h (vertical height)

2 a = 8 x 10 = 40 sq. km 2

8km

12km

10km9km

$500 Question from Perimeter and Area of a Triangle

Kasyn’s green triangular sail on his sailboat has a base of 9m and a height of 12m. It ripped in a storm and the whole sail needs to be replaced. How much fabric will Kasyn need in order to fix the sail?

$500 Answer from Perimeter and Area of a Triangle

Use area because it is the entire sail. a = b x h

2a = 9m x 12m a = 98 sq. m / 2a = 49 sq. m Kasyn will need 49 sq. m of fabric.

9m

12m

$100 Question from Complex Shapes

What is the perimeter of the figure?

2m

5m

1m

7m

8m

$100 Answer from Complex Shapes

Perimeter is the outside. p = addition of all sides

p = 8m + 2m + 1m + 7m +5m + 7m + 2m + 2m

p = 34m

2m

5m

1m

7m

8m

2m

2m

7m

$200 Question from Complex Shapes

What is the area of the figure?

3m

10m

6m

5m

$200 Answer from Complex Shapes

3m

10m

6m

1. Area of Rectangle = b x h a = 6m x 3m a = 18 sq. m

plus

2. Area of Triangle = bxh 2

a = 4m x 3m 2

a = 12 sq. m / 2 a = 6 sq. m

Area of shape = 18 + 6 = 24 sq. m

4m

3m

5m

$300 Question from Complex Shapes

What is the perimeter of the figure?

3m

10m

6m

5m

$300 Answer from Complex Shapes

Perimeter is the outside. p = add all sides together p = 6m + 5m + 10m +3m

p = 24m

3m

10m

6m

5m

$400 Question from Complex Shapes

What is the area of the figure?

5mm

1mm

2mm

6mm

2mm

4mm

$400 Answer from Complex Shapes

Area is the inside.a of rectangle = bxh

5mm

1mm

2mm

6mm

2mm

4mm

1. Divide figure into rectangles.2. Calculate area for each rectangle.3. Add areas together.

4x2

(6 +2)-2 =6mm

4-1 = 3mm6x3

5x2

a (1) = 4x2 = 8 sq. mm a (2) = 6x3 = 18 sq. mm a (3) = 5x2 =+ 10 sq. mmArea of shape = 36sq. mm

$500 Question from Complex Shapes

What is the area and perimeter of the figure?10 in

5 in

16in

7in

3 in

9in

5 in

$500 Answer from Complex Shapes

Perimeter is the outside. p = add all sides together. p = 10 + 7+ 13 +5 + 9 p = 44 in.

10 in

5 in

13in

7in

3 in

9in

5 in

Area is amount inside.1. Divide figure into shapes.2. Calculate are for shapes3. Add area’s together.

9-5 =4in

(13+3)-10 = 6in

10x55x6 2

3x4 2

area rectangle = 10 x 5 = 50 sq. in area triangle 1 = 3 x 4 / 2 = 6 sq. in area triangle 2 = 5 x 6 /2 = +15 sq. in Area of shape = 71 sq. in

$100 Question from Conversions

What are the following conversion to feet?

A) 48 inches = ? feet

B) 6 yards = ? feet

$100 Answer from Conversions

Conversions1 ft = 12 inches1 yard = 3 feet A) 48 in 1 ft = 4 feet

12 in

B) 6 yds 3 ft = 18 feet 1yd

$200 Question from Conversions

What are the following conversions to meters?

A) 400cm = ? m

B) 3km = ? m

$200 Answer from ConversionsConversions1m = 100cm1km = 100m

A) 400cm 1m = 4 m 100cm

B) 3km 100m = 300m 1km

$300 Question from Conversions

Jack puts rope around the outside of a window in his tree house. He needs 16feet of rope total. He has 6 yards of rope. Does Jack have enough rope to go around the outside of the window? Explain your answer.

$300 Answer from Conversions

Conversions1 yard = 3 feet

6 yds 3 ft = 18 feet 1 ydNeeds 16 ft < 18ft18 – 16 = 2 ft extra!

Yes, Jack has enough rope. He even has 2 feet extra of rope.

$400 Question from Conversions

What is the area in square feet?

36 inches

4 feet5 feet

$400 Answer from Conversions

Conversions1 foot = 12 inchesArea a of triangle = bxh

2 36 inches

4 feet5 feet

1. Convert before 36in 1 foot = 3 feet

12 ina = 4ft x 3 ft = 6 sq. ft

2

2. Convert after a = 36 x 4 = 144 = 72 in x ft 2 272 in x ft 1 ft = 6 sq. ft 12 in

$500 Question from Conversions

Dominic is putting a fence around his chicken coop. The coop is 6 feet wide and 9 feet long. The fencing is sold by the yard. How many yards of fencing would Dominic need?

$500 Answer from ConversionsFencing = Perimeterp = b +h + b + h1 yard = 3 feet

9 feet

6 feet

1. Convert at the end p = 9ft. + 6ft. + 9 ft. + 6ft. p = 30 ft. (1 yd = 3 ft) p = 30 ft 1 yd = 10 yds.

3 ft

2. Convert at the beginning 9 ft 1 yd = 3 yds 6ft 1 yd = 2 yds.

3ft 3ft p = 3 yds. + 2 yds. + 3 yds. +2yds. p = 10 yds.

Final JeopardyIn the middle of Tiana’s rectangular lawn she has a triangular patio. She is redoing the lawn and needs to know how much grass she would need just to cover the lawn (not the patio). How much grass would she need?

4 ft

5ft

6ft

10ft

6ft

Final Jeopardy Answer

4 ft

5ft

6ft

10ft

6ft

Area of Green only. 1. Find area of

rectangle and triangle.

2. Subtract triangle from rectangle.

a of rectangle = b x ha = 10ft x 6 fta = 60 sq. ft

a of triangle = b x h 2

a = 4ft x 5ft / 2a = 20 sq. ft / 2a = 10 sq. ft

Area of grass only = 60 sq. ft – 10 sq. ft= 50 sq. ft.