1. AREA OF POLYGONS You need: Formula Sheet Scratch Paper Pencil
Calculator

2. Area of Polygons Area Word Problems Shaded & Combination
Regular Polygons
100
200
400
300
500
600

3. 1.
15 mm
32 mm

4. What is 240mm2?
A = ½ (32)(15)
15 mm
32 mm

5. 2.
22 in
6 in
8 in
12 in

6. What is 102 in2?
22 in
A = ½ (6)(22+12)
6 in
8 in
12 in

7. 3.
26 in

8. What is in2?
r = 13
A =
26 in

9. 4.
15 ft
24 ft

10. What is 216 ft2 ?
15 ft
A = ½ (18)(24)
12 ft
9 ft
24 ft
12 ft
9 ft

11. 5.
7 cm
6 cm

12. What is 126 cm2 ?
P = 6(7) = 42
A = ½ (42) (6)
7 cm
6 cm

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

14. What is 50 cm2?
The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.
A = ½ (5) (7 + 13)

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

16. What is 18mm?
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

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

18. What is 297ft2?
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

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

20. What is 480 cm2?
9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.
26 ft
A = ½ (48)(20) 10 24
48 cm 10 24

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

22. What is 600m2?
10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30 m.
25 ft
A = ½ (30)(40) 20 15
30m 20 15

23. 11.
8 km
8 km
18 km
9 km
22 km

24. What is 324 km2 ? (18)(22) = 396 (8)(9) = 72 396 – 72 8 km 8 km 18 km

25. 14 ft
12.
18 ft

26. What is 126 cm2 ? (14)(18) = 252 ½ (14)(18) = 126 252 - 126 14 ft

27. 13.
15 in
7 in

28. What is in2 ?
152 = 225
72 = 49
15 in
7 in

29. 14.
2 in
9 in
10 in
5 in
4 in
3 in
6 in

30. What is 102 in2 ? (10)(14) = 140 (2)(9) = 18 (4)(5) = 20 140 – 18 – 20

31. 15.
12 m
5 m
4 m
6 m
3 m
9 m

32. What is 102 m2 ?
12 m
5 m
4 m
6 m
3 m
9 m

33. 16.
8 cm

34. What is 384 cm2 ? long = short = short 8 short = 8 long Apothem = 8
Perimeter = 6(16) = 96
Area = ½ (96) ( )
hyp 30
8 cm 60
short 8 16

35. 17.
3 ft

36. What is 27 ft2 ? long = short 3 = short short = 3 Apothem = 3
Perimeter = 3(6 ) = 18
Area = ½ ( )(3)
hyp 60
short 3 30
long
3 ft 6

37. 18.
24 in

38. What is 864 in2 ? long = short hyp = 2 * short long = 12
Apothem = 12
Perimeter = 6(24) = 144
Area = ½ (144) ( )
hyp 30 12 60
short 12 24

39. 19.
15 m

40. What is 225 m2 ? long = short 15 = short short = 5 Apothem = 5
Perimeter = 3(30) = 90
Area = ½ (90)(5 )
hyp 60
short 5 30
long
15 m 30

41. 20.
8 mi

42. What is 128 mi2 ? hyp = short 8 = short short = 4 hyp leg 45 8 mi
Apothem = 4
Perimeter = 4(8 ) = 32
Area = ½ ( )(4 )
= 64 * 2 4 45
leg 4 8