Geometry Unit Review
Multiple Choice– Choose the correct answer for each question.
1. Determine which set of sides cannot be used to form a triangle.
a. 8 in, 9 in, 15 in
b. 15 m, 27 m, 41 m
c. 9 yd, 9 yd, 17 yd
d. 4 ft, 9 ft, 13 ft
2. ABC measures 62. Its complementary angle measures:
a. 28
b. 62
c. 208
d. 298
3. How can this angle be classified?
a. Acute
b. Right
c. Obtuse
d. Straight
4. What is the perimeter of an equilateral triangle with 6-inch sides?
a. 18 inches
b. 24 inches
c. 27 inches
d. 36 inches
5. A soccer field has a length of 100 yards and a width of 60 yards. What is the perimeter of the field?
a. 160 yards
b. 220 yards
c. 320 yards
d. 6000 square yards
6. What is the area of a rectangle with length 36 cm and width 4 cm?
a. 72 cm
b. 144 cm
c. 144 cm2
d. 72 cm2
7. What is the area of the figure pictured to the right?
a. 6 square units
b. 10 square units
c. 12 square units
d. 50 square units
8. A triangle has an area of 36 yd2 and a base of 3 yd, what is the height of the triangle?
a. 12 yd
b. 24 yd
c. 108 yd
d. 324 yd
9. Find the area of the figure to the right.
a. 17 cm2
b. 20 cm2
c. 27 cm2
d. 36 cm2
10. Find the height of the parallelogram with a length of 50 in and an area of 275 in 2.
a. 5.5 in
b. 22 in
c. 5.5 in2
d. 11 in
11. Jewell wants to tile her kitchen floor with tiles that are 1.5 ft2. If her kitchen is 18 ft by 12 ft, how many
tiles will she need?
a. 40
b. 144
c. 216
d. 324
12. Find the area of the figure to the right.
a.
b.
c.
d.
44 cm
44 cm2
54 cm2
32 cm2
13. Find the area of the shaded region to the right.
a. 20 cm2
b. 40 cm2
c. 80 cm2
d. 120 cm2
14. Find the length of the base of a triangle with an area of 20 cm 2 and a height of 5 cm.
a. 4 cm
b. 8 cm
c. 15 cm
d. 100 cm
Short Constructed Response – Write the correct answer for each question.
15. A circular carpet covers an area of 201 cm 2. What is the radius of the carpet?
16. What is the diameter of a circle whose area is 38.04 in2?
_________
d = __________
17. In order to decorate for a party, you need to cover 3 rectangular tables with tablecloth. The tables
measure 36 in by 72 in. If you want 2 inches overhang on each side, how many square inches of
fabric would it take to cover the 3 tables?
__________
18. The doors in your home need to be painted. Each door measures 8 ft x 3 ft. You are amazed that you
have 22 doors to paint! A can of paint can cover 400 square feet. How many cans of paint will you
need to purchase?
__________
19. A diagram of the side of your shed is below. How much siding is needed to cover both sides of the
shed that are shaped as pictured?
__________
20. Find the value of x.
28˚
21. Find the value of m.
12˚
5m - 2
__________
3x + 5
__________
Extended Constructed Response - Solve the problem, showing all work.
22. You have been asked to design a flower garden with an area of 52 ft2. The client has no
preference for the shape of the garden. It’s all up to you!
a. If it will cost $3/ft to put flowers in the garden, determine the total cost.
b. Provide two possible dimensions of the flower garden.
c. Identify the shape that has the smallest perimeter.
23. A bag of grass seed can cover 120 square feet. Mrs. DeJosia wants to seed her front and back
yard. The front yard is rectangular in shape, measuring 10 ft x 8 ft. Her back yard has an irregular
shape and is pictured below.
A. Calculate the square footage of Mrs. DeJosia’s front yard.
B. Calculate the square footage of Mrs. DeJosia’s back yard.
C. How many bags of grass seed will Mrs. DeJosia need to purchase?