SAT - Area and Perimeter
1.
Which of the following could be used to determine the perimeter of shape below?
A.
2.
3+5
B.
3
+5
C.
3+3+3+5
D.
6
3+2
5
Blake made the picture frame below.
Blake glued string that went once around the outside edge of the frame. What length of
string did he use?
A.
3.
16 inches
B.
32 inches
C.
60 inches
D.
120 inches
D.
40 meters
Which of the following is the closest to the perimeter of the shape?
A.
10 meters
B.
20 meters
C.
page 1
30 meters
4.
Lauren wants to put a brick border around her garden. A drawing of her garden is represented
by the shaded section on the grid below.
What is closest to the number of meters of brick border Lauren will need to put around her
garden?
A.
5.
12 meters
B.
16 meters
C.
20 meters
D.
26 meters
The right circular cylinder represented below has a base radius of 3 centimeters and a height
of 12 centimeters.
What is the volume of the right circular cylinder in cubic centimeters?
A.
36 cm3
B.
72 cm3
C.
page 2
108 cm3
D.
432 cm3
SAT - Area and Perimeter
6.
Princeton Farms, Inc., uses a right circular cylindrical silo to store grain. The silo holds a
maximum of 155,430 cubic feet of grain and has a radius of 30 feet.
Which of the following is closest to the height of the silo?
A.
7.
825 feet
B.
55 feet
C.
17.52 feet
D.
13.75 feet
192
D.
384
A triangle is shown below.
What is the area of the triangle in square inches?
A.
56
B.
96
C.
page 3
SAT - Area and Perimeter
8.
Stacey used cutouts of two triangles to make the
Which statement is true about the
9.
gures?
A.
Both
gures have the same area.
B.
Both
gures have the same perimeter.
C.
Both
gures have the same number of sides.
D.
Both
gures have the same number of vertices.
The height of a triangle is 4 inches greater than twice its base. The area of the triangle is
168 square inches. What is the base of the triangle?
A.
10.
gures below.
7 in.
B.
8 in.
C.
12 in.
D.
14 in.
D.
270 ft.2
Use the triangle below to answer the following question.
What is the area of the triangle?
A.
11.
24 ft.2
B.
48 ft.2
C.
135 ft.2
Kim is making pizza for the school carnival. If the radius of the pizza is doubled, how will the
area change?
A.
The area will remain the same.
B.
The area will be two times as large.
C.
The area will be three times as large.
D.
The area will be four times as large.
page 4
SAT - Area and Perimeter
12. Landscape Architect's Designs
A landscape architect used the entire length of an 80-foot rope to lay out a ower bed in the
shape of a square. In another area, he used the entire length of the same rope to lay out a
second ower bed in the shape of a circle. (Drawings not to scale.)
How many square feet greater is the area of one ower bed than the other? Show your work
or explain how you found your answer. (Use 3.14 for )
13.
The area of a circle is 100 square centimeters. What is the radius of the circle?
A.
14.
3.2 centimeters
B.
5.6 centimeters
C.
9.8 centimeters
D.
10.0 centimeters
Use the diagram below to answer the following question.
Which is the best estimate for the area of the walkway around this circular
A.
40 square feet
B.
50 square feet
page 5
C.
100 square feet
D.
ower bed?
200 square feet
SAT - Area and Perimeter
15.
Micah thinks that the shaded part of Figure A has a greater area than the shaded part of
Figure B. Tonya thinks that the shaded part of Figure B has a greater area than the shaded
part of Figure A.
Write a note to Micah and Tonya telling whether either of them is right. Explain in detail the
calculations you made to compare the areas of the shaded parts of Figures A and B.
16.
What is the area of the shaded region in the
gure below? (Use 3.14 for
.)
A.
C.
21.72 sq. units
5.15 sq. units
B.
17.16 sq. units
page 6
7.74 sq. units
D.
SAT - Area and Perimeter