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7.9C Determining the Area of Composite Figures

Total questions: 55

Worksheet time: 3hrs 45mins

Name
Class
Date
1.
What is the area of this composite shape?
a)
14 in2
b)
68 in2
c)
36 in2
d)
24 in2
2.
Find the area of the triangle
a)
48 sq cm
b)
24 sq cm
c)
30 sq cm 
3.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
4.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
5.
Find the area
a)
41
b)
45
c)
44
d)
43
6.

What is the area of this shape?

a)

45 square units

b)

46 square units

c)

36 square units

d)

9 square units

7.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
8.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
9.
Find the area of the figure
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
10.
Find the area.
a)
28 square cm
b)
36 square cm
c)
40 square cm
d)
36 square feet
11.
What are the missing sides?
a)
4 and 10
b)
4 and 6
c)
6 an 8 
d)
5 and 1/2
12.
 Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?
a)
13,600 ft²
b)
18,400 ft²
c)
16,000 ft²
d)
2,400 ft²
13.
The diagram shows one side of a storage barn. This side needs to be painted. Find the total area to be painted.
a)
333.4 ft2
b)
467.4 ft2
c)
345.4 ft2
d)
572.4 ft2
14.

Find the area.

a)

32 ft2

b)

44 ft2

c)

76 ft2

d)

120 ft2

15.

Find the area of the polygon.

a)

45 in2

b)

68 in2

c)

36 in2

d)

24 in2

16.
Find the area of the composite figure
a)
40
b)
9
c)
49
d)
61
17.
What is the area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
18.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
19.

What is the area?

a)

30 square units

b)

32 square units

c)

23 square units

d)

36 square units

20.
To find the area of a composite figure you must break the irregular figure into common shapes then find the area of each shape and 
a)
subtract them
b)
add them together
c)
multiply them
d)
divide them
21.

What is the area of the shaded region?

a)

20 cm2cm^2

b)

4 cm2cm^2

c)

30 cm2cm^2

d)

24 cm2cm^2

22.

What is the area of the shaded region?

a)

20 cm2cm^2

b)

4 cm2cm^2

c)

30 cm2cm^2

d)

24 cm2cm^2

23.
What is the area of the composite figure?
a)
80 cm2
b)
16 cm2
c)
96 cm2
d)
32 cm2
24.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
25.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
26.
What is the area of the composite figure?
a)
48 cm2
b)
90 cm2
c)
78 cm2
d)
12 cm2
27.

Find the area of the composite figure

a)

40 ft2ft^2

b)

9 ft2ft^2

c)

49 ft2ft^2

d)

61 ft2ft^2

28.

Find the area of the composite figure

a)

3 ft2ft^2

b)

51.5 ft2ft^2

c)

32 ft2ft^2

d)

44 ft2ft^2

29.
What is the area of the figure?
a)
120 in²
b)
60 in²
c)
96 in²
d)
48 in²
30.
What is the area of the figure?
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
31.

What is the area of the figure?

a)

40 ft2ft^2

b)

50 ft2ft^2

c)

20 ft2ft^2

d)

25 ft2ft^2

32.
Find the area of the figure shown.
*HINT: There are 2 figures here! How could you find the total area? 
1. Find the area of the rectangle
2. Find the area of the triangle
3. Add the areas together!
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
33.

The area of this rectangle is...

a)

Area = 60 units2units^2

b)

Area = 60 units

c)

Area = 32 units

d)

Area = 30 units2units^2

34.
a)
25.9 yd2
b)
12.95 yd2
c)
6.475 yd2
d)
12.95 m2
35.
Area?
a)
610 square meters
b)
98 meters
c)
610 meters
36.
Area?
a)
610 square meters
b)
98 meters
c)
610 meters
37.
Find the area.
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
38.
Area?
a)
324 ft squared
b)
324 meters squared
c)
310 ft
d)
310 feet squared
39.
What is the area of the green area?
a)
195 meters2
b)
195 meters
c)
30 meters
d)
225 meters2
40.
Area of this polygon?
a)
38 cm 2
b)
38 meters
c)
132 meters 2
d)
72 meters
41.
Find the area.
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
42.
Find the area of the figure.
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
43.
Find the area of the shaded region
a)
36cm2
b)
50cm2
c)
32cm2
d)
4cm2
44.
What is the area of the composite figure?
a)
40 sq cm
b)
65 sq cm
c)
52.5 sq cm
d)
25 sq cm
45.
What is the area of the composite figure?
a)
80 cm2
b)
16 cm2
c)
96 cm2
d)
32 cm2
46.

Find the area of the composite figure

a)

40 ft2

b)

9 ft2

c)

49 ft2

d)

61 ft2

47.
a)
141 cm2
b)
114 cm2
c)
140 cm2
d)
411 cm2
48.
 Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?
a)
13,600 ft²
b)
18,400 ft²
c)
16,000 ft²
d)
2,400 ft²
49.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
50.
Find the area of the shaded region: 
a)
350 cm2
b)
137.5 cm2
c)
212.5 cm2
d)
484.2 cm2
51.
What is the area of the composite figure?
a)
144 m2
b)
111 m2
c)
45 m2
d)
70 m2
52.

The Wilson’s new pool shed is shown below. Mrs. Wilson wants to paint it a turquoise color to match the pool’s tile. Find the area that needs to be painted, not including the door which is 1.0 m wide.

a)

3.6 m2

b)

4.6 m2

c)

2.9 m2

d)

5.6 m2

53.

Find the area of the shaded region.

a)

334 km2

b)

172 km2

c)

658 km2

d)

433 km2

54.
To promote recycling, the ground of the neighborhood sandbox is being covered with shredded tires . The sandbox will not be covered.
What is the area of the shredded tire portion of the playground?
a)
3600 feet2
b)
450 feet2
c)
1342 feet2
d)
3150 feet2
55.

Ben wants to put wall-to-wall carpeting in a small rectangular room. The room measures 12 feet by 10 feet. Carpet cost $3.60 per square foot. How much will it cost Ben to re-carpet the small room?

a)

$120

b)

$360

c)

$432

d)

$625