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AREA OF POLYGONS

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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

1.

32 mm

15 mm

What is 240mm2?

32 mm

15 mm

A = ½ (32)(15)

2.

12 in

6 in

22 in

8 in

What is 102 in2?

12 in

6 in

22 in

8 in

A = ½ (6)(22+12)

3.

26 in

What is 169 in2?

26 in

r = 13

A = 132

4. 15 ft

24 ft

What is 216 ft2 ?

15 ft

24 ft12 ft

12 ft

9 ft

9 ft

A = ½ (18)(24)

5.

6 cm

7 cm

What is 126 cm2 ?

6 cm

7 cm P = 6(7) = 42

A = ½ (42) (6)

6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.

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?

7. A triangle has an area of 72 mm. If the height is 8mm, find the base.

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?

8. Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft.

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?

9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.

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)

10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30m.

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)

11.

8 km 8 km

22 km

18 k

m

9 km

What is 324 km2 ?

8 km 8 km

22 km

18 k

m

9 km

(18)(22) = 396 (8)(9) = 72

396 – 72

12.

18 ft

14 ft

What is 126 cm2 ?

18 ft

14 ft

(14)(18) = 252½ (14)(18) = 126

252 - 126

14 ft

18 ft

13.

15 in

7 in

What is 176 in2 ?

15 in

7 in

152 = 22572 = 49

225 - 49

14.

9 in

10 in

2 in

6 in3 in

5 in

4 in

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

15.

6 m

4 m

3 m

5 m

9 m

12 m

What is 102 m2 ?

6 m

4 m

3 m

5 m

9 m

12 m

16.

8 cm3

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

17.

3 ft3

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

18.

24 in

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

19.

15 m

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

20.

8 mi

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