AREA OF POLYGONS You need: Formula Sheet Scratch Paper Pencil Calculator.
Transcript of AREA OF POLYGONS You need: Formula Sheet Scratch Paper Pencil Calculator.
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AREA OF POLYGONS
You need:
•Formula Sheet
•Scratch Paper
•Pencil
•Calculator
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Area of Polygons
Area Word
Problems
Shaded & Combinatio
n
Regular Polygons
100 100 200 400
100 200 200 400
100 200 200 400
300 300 300 500
300 300 300 600
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1.
32 mm
15 mm
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What is 240mm2?
32 mm
15 mm
A = ½ (32)(15)
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2.
12 in
6 in
22 in
8 in
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What is 102 in2?
12 in
6 in
22 in
8 in
A = ½ (6)(22+12)
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3.
26 in
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What is 169 in2?
26 in
r = 13
A = 132
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4. 15 ft
24 ft
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What is 216 ft2 ?
15 ft
24 ft12 ft
12 ft
9 ft
9 ft
A = ½ (18)(24)
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5.
6 cm
7 cm
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What is 126 cm2 ?
6 cm
7 cm P = 6(7) = 42
A = ½ (42) (6)
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6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.
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6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.
A = ½ (5) (7 + 13)
What is 50 cm2?
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7. A triangle has an area of 72 mm. If the height is 8mm, find the base.
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7. A triangle has an area of 72 mm. If the height is 8mm, find the base.
A = ½ b h
72 = ½ (8) h
72 = 4 h
h = 18
What is 18mm?
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8. Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft.
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8. Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft.
P = 12(11) A = ½ P a
P = 132 A = ½ (132) (4.5)
A = 297
What is 297ft2?
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9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.
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What is 480 cm2?9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.26 ft
48 cm
10
10
24
24
A = ½ (48)(20)
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10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30m.
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What is 600m2?10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30 m. 25 ft
30m
20
20
15
15
A = ½ (30)(40)
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11.
8 km 8 km
22 km
18 k
m
9 km
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What is 324 km2 ?
8 km 8 km
22 km
18 k
m
9 km
(18)(22) = 396 (8)(9) = 72
396 – 72
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12.
18 ft
14 ft
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What is 126 cm2 ?
18 ft
14 ft
(14)(18) = 252½ (14)(18) = 126
252 - 126
14 ft
18 ft
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13.
15 in
7 in
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What is 176 in2 ?
15 in
7 in
152 = 22572 = 49
225 - 49
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14.
9 in
10 in
2 in
6 in3 in
5 in
4 in
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What is 102 in2 ?
9 in
10 in
2 in
6 in3 in
5 in4
in
(10)(14) = 140 (2)(9) = 18(4)(5) = 20
140 – 18 – 20
14
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15.
6 m
4 m
3 m
5 m
9 m
12 m
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What is 102 m2 ?
6 m
4 m
3 m
5 m
9 m
12 m
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16.
8 cm3
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What is 384 cm2 ?
8 cm330
60
long = short = shortshort = 8
338 3
hyp long
short8
16
Apothem = 8Perimeter = 6(16) = 96Area = ½ (96) (8 )3
3
3
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17.
3 ft3
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What is 27 ft2 ?
3
3
30
60
hyp
long
short
6
Apothem = 3Perimeter = 3(6 ) = 18 Area = ½ (18 )(3)
3
long = short3 = shortshort = 3
33
3 ft
3
3
33
3
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18.
24 in
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What is 864 in2 ?24
in 12 330
60
hyp = 2 * short 24 = 2 * shortshort = 12
hyp long
short12
24
Apothem = 12Perimeter = 6(24) = 144Area = ½ (144) (12 )3
3
long = shortlong = 12
33
3
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19.
15 m
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What is 225 m2 ?
15 m
5
30
60hyp
long
short
30
Apothem = 5Perimeter = 3(30) = 90 Area = ½ (90)(5 )
long = short 15 = short
short = 5
33
33
3 33
3
3
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20.
8 mi
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What is 128 mi2 ?8 m
i
4
45
hyp
leg
8
Apothem = 4Perimeter = 4(8 ) = 32 Area = ½ (32 )(4 ) = 64 * 2
hyp = short 8 = short
short = 4
leg45
4
2
2
2
2222
2
22
222