Area -- ACT Questions

For the trapezoid shown below, AB is 7 inches and CD is 4 inches, and the perimeter is 43 inches. What is the area of the trapezoid?

• 28 in²

• 32 in²

• 36 in²

• 64 in²

• 128 in²

The area of the trapezoid shown here is 24 m². What is the length of the longer base, x?

• 3

• 4

• 8

• 10

• 12

Tags

CCSS.6.G.A.1

A sheet of paper has a surface area of 88 square inches. If the length of the paper is 11 inches, what is its width?

• 4

• 8

• 11

• 22

• 77

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What expression shows the area of the right triangle shown below?

• x² + 3

• x² + 9

• 6x²

Tags

CCSS.6.G.A.1

The rhombus in XYZQ is 10 centimeters long, and YQ is 4 centimeters long. What is the area of XYZQ in square centimters?

• 8

• 10

• 20

• 40

• 100

Tags

CCSS.6.G.A.1

A farmer wants to double the area of his rectangular 6 meter by 10 meter garden. The 10-meter length will be increased by 2 meters. By how much will he need to increase the width?

• 2

• 4

• 6

• 12

• 10

Tags

CCSS.7.G.A.1

The area of this triangle is 36 cm². The base of the triangle is 9 cm. What is its height?

• 4

• 8

• 12

• 22

Tags

CCSS.6.G.A.1

For a certain rectangle, the ratio of the lengths of the sides is 4:3. If the area of the rectangle is 192 cm², what is the length of the longer side?

• 4

• 16

• 12

• 20

• 32

The length of one rectangle is 4 times the length of a smaller rectangle. The 2 rectangles have the same width. The area of the smaller rectangle is X. The area of the larger rectangle is yX. What is the value of y?

• 1

• 4

• 16

Tags

CCSS.7.G.A.1

In the figure below, the area of the larger square is 64 in² and the area of the smaller square is 25 in². What is the value of x?

• 2

• 3

• 4

• 5

• 8

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3