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Worksheets

Areas of Polygons and Parallelograms

Total questions: 34

Worksheet time: 1hrs 8mins

Name
Class
Date
1.
Find the area
a)
96 cm2
b)
48 cm2
c)
36 cm2
d)
48 cm
2.
Find the area.
a)
50.4
b)
700.56
c)
100.08
d)
1401.12
3.

What is the area?

a)

24 cm2

b)

48 cm2

c)

120 cm2

d)

240 cm2

4.

What is the area of the equilateral triangle?

a)

1558.8 km2

b)

389.7 km2

c)

519.6 km2

d)

129.9 km2

5.

Find the area of the regular polygon.

a)

122 ft2

b)

27.7 ft2

c)

124.7 ft2

d)

363.2 ft2

6.

A regular decagon has a perimeter of 10 m, and an apothem of 1.5 m. What is the area of the decagon?

a)

300 m2

b)

30 m2

c)

75 m2

d)

7.5 m2

7.

Find the area of the regular polygon.

a)

259.8 m

b)

259.8 m2

c)

259.8 cm

d)

259.8 cm2

8.

What is the area of the figure?

a)

1685.1

b)

802.5

c)

841.8

d)

314.6

9.

What is the area of the figure?

a)

259.8

b)

129.9

c)

47.5

d)

365.3

10.

What is the area of the trapezoid?

a)

36 square millimeters

b)

48 square millimeters

c)

24 square millimeters

d)

12 square millimeters

11.

What is the area of the trapezoid?

a)

4 square meters

b)

16 square meters

c)

10 square meters

d)

60 square meters

12.

The area of the trapezoid is 27 square centimeters.

What is the trapezoid's height, h?

a)

5 cm

b)

4 cm

c)

3 cm

d)

1 cm

13.

Find the area of the kite.

a)

36 m2

b)

25 m2

c)

17 m2

d)

18 m2

14.

Find the area of the kite.

a)

80 in2

b)

160 in2

c)

92 in2

d)

107 in2

15.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
16.
Find the area.
a)
 25 square inches
b)
70 square inches
c)
80 square inches
d)
56 square inches
17.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

18.

Find the area of the kite in square feet.

a)

34

b)

68

c)

17

d)

18.5

19.

What is the area of the rhombus? The distances shown are for the lengths of the full diagonals.

a)

11 cm2

b)

30 cm2

c)

22 cm2

d)

15 cm2

20.

What is the area of this rhombus? The distances shown refer to the colored segments only.

a)

48 cm2

b)

24 cm2

c)

16 cm2

d)

32cm2

21.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
22.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
23.

Find a.

a)

3

b)

333\sqrt{3}

c)

6

d)

3\sqrt{3}

24.

Find x.

a)

10

b)

10310\sqrt{3}

c)

10210\sqrt{2}

d)

20

25.
Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)
a)
4
b)
u
c)
v
26.
What is the measure of side c?
a)
6
b)
6√2
c)
6√3
d)
12
27.

What is the measure of side c?

a)

7

b)

72\frac{7}{\sqrt{2}}

c)

7√2

d)

14

28.
Find x.
a)
12
b)
√2
c)
√3
d)
6
29.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
30.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

31.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

32.
a)
4 km2
b)
16 km2
c)
64 km2
d)
8 km2
33.
What is the area?
a)
28 square units
b)
35 square units
c)
20 square units
d)
16 square units
34.
Find the area.
a)
 25 square inches
b)
70 square inches
c)
80 square inches
d)
56 square inches

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