Discovering Geometry
Chapter 8 Review
Name_____________________________Period______
Show all work.
1.
Find b if the area of trapezoid is 330 ft2.
2.
Find the area.
7
b
8
13
17
3.
Find the area of a circle if the circumference
is 18.
4.
Find the area of the kite.
13
5
12
5.
Find the height of the parallelogram if the
perimeter is 74 in. and the area is 125 in2.
6.
2𝑥 + 3
12
h
7.
The area of a rectangle is 354 in2.
If the base is 6 in, find the
perimeter.
The area of a triangle is 150 in2. If
the height is 20 in, find the length of
the base.
8.
Find the area of the figure below.
10
7
6
8
14
9.
Find the area of the shaded region.
5
10.
Find the area of the shaded annulus.
6
2
11.
Find the area of the shaded region.
12.
13 cm
17
15
13.
Find the area of the segment.
16
Find the area of the shaded region.
14.
The area of the sector is 5.5π in2, .
Find mCAR .
C
(12, 0)
(-7, -6)
A
6 in
R
(7, -6)
15.
Find the area of a kite with coordinates (4, 0), (-4, 0), (0, 3) and (0, -8).
16.
Mrs. Wien wants to paint the walls of her basement (the ceiling and floor are not being painted)
with Porter Paint yellow that costs $35.95 per gallon. The dimensions of the room are 30 feet long
by 27 feet wide by 8 feet tall. If one gallon covers 350 ft2 (and the paint is sold only by the gallon)
how much will Mrs. Wien spend to paint her basement? (You must SHOW YOUR WORK).
Cost ___________
17.
The area of a regular nonagon is 302.4 cm2 , and the apothem is 9.6 cm. Find the side length of the
nonagon.
18.
The octagon has an apothem of 8.4 cm. and a side length of 7 cm. Find the area of
the shaded region.
19.
Find the area of the shaded region for each figure.
a.
b.
20.
21.
Suppose you want to cover a pizza crust with sauce and the radius of the crust is 9 in. If one small
can of pizza sauce covers 35 in2, how many WHOLE cans of sauce would you need to buy? (You must
SHOW YOUR WORK).
For #22-26 find the surface area of each figure.
22.
23.
24.
25.
7m
26.
4m
15 m
ANSWERS TO CHAPTER 8 REVIEW
1.
115 ft
2.
28
3.
4.
5.
6.
7.
units 2
8.4 units 2
2
85 units
5 in
130
15 in
8.
196 units
9.
(100  25 ) units 2
10.
28 units 2
11.
(256  637.5) units 2
12.
(42.25  84.5) cm2
13.
(144  126) units 2
14.
55
15.
44
2
16.
units 2
2
2
(912 ft /350 ft ), $107.85
17.
7 cm
18.
147
19.
cm2
2
a. 25 cm
2
b. 13.5 cm
20.
21.
208 in
8 cans
22.
136 units
23.
253.5 units 2
24.
240 units
25.
177.65 units 2
26.
164 units 2
2
2
2