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A study guide for Chapter 7 of a Geometry course, consisting of multiple choice questions related to finding the area and perimeter of various shapes. The figures are not drawn to scale.
Typology: Lecture notes
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Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
Find the area. The figure is not drawn to scale.
7.6 cm
3.7 cm
a. b. c. d.
36 in.
40 in. 33 in.
a. 1188 in.
2 b. 69 in.
2 c. 138 in.
2 d. 1440 in.
2
2 cm
5.4 cm
a. 10.8 cm
2 b. 5.4 cm
2 c. 21.6 cm
2 d. 7.4 cm
2
10 yd
3 yd
a. 30 yd
2 b. 6.5 yd
2 c. 13 yd
2 d. 15 yd
2
9 cm
9 cm 11 cm
8 cm
13 cm
a. 144.5 cm
2 b. 127 cm
2 c. 172 cm
2 d. 50 cm
2
12.6 in.
29.2 in.
19 in.
14.5 in.
a. 607.32 in.
2 b. 36.7 in.
2 c. 303.66 in.
2 d. 77.2 in.
2
8 in.
7 in.
12 in.
8 in.
Not drawn to scale
a. 77.2 in.
2 b. 80 in.
2 c. 75 in.
2 d. 70 in.
2
____ 8. The area of a parallelogram is 420 cm
2 and the height is 35 cm. Find the corresponding base.
a. 385 cm b. 455 cm c. 14,700 cm
2 d. 12 cm
Find the length of the missing side. The triangle is not drawn to scale.
25
24
a. 35 b. 49 c. 7 d. 2
Find the length of the missing side. Leave your answer in simplest radical form.
a. x = , y =
c. x = , y = 10
b. x = 10, y =
d. x = 30, y =
Find the area of the trapezoid. Leave your answer in simplest radical form.
4 cm
7 cm
3 cm
45°
Not drawn to scale
a. 63 cm
2 b. 70 cm
2 c. 24.5 cm
2 d. 9 cm
2
____ 17. A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?
a. 36.8 ft
2 b. 8.6 ft
2 c. 73.6 ft
2 d. 34.4 ft
2
____ 18. Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The
results are shown in the circle graph below. Find the measure of each central angle in the circle graph.
a. Sleeping
b. Eating
a. 118.8°; 28.8° b. 108°; 28.8° c. 118.8°; 288° d. 59.4°; 288°
____ 19. Name the major arc and find its measure.
C B
A
D
a. arc ADB ; 50 b. arc AB ; 50 c. arc ADB ; 310 d. arc AB ; 310
Find the circumference. Leave your answer in terms of.
18 in.
a. in. b. in. c. in. d. in.
____ 21. Find the length of arc XPY. Leave your answer in terms of.
8 m
X
Y
P
a. 24 m b. 12 m c. 4 m d. 720 m
Find the area of the circle. Leave your answer in terms of.
4.1 m
a. 4.2025 m
2 b. 8.405 m
2 c. 16.81 m
2 d. 11.2 m
2
____ 23. Find the area of the figure to the nearest tenth.
