# Chapter 8 Practice Test

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• 1.

### The figure shown is made up of a square within a square.  Write an expression for the area of the shaded region.

D.
Explanation
The shaded region can be found by subtracting the area of the smaller square from the area of the larger square. The expression for the area of the shaded region is (side length of larger square)^2 - (side length of smaller square)^2.

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• 2.

• A.

42

• B.

98

• C.

49

• D.

1,372

B. 98
• 3.

### Find the area of the parallelogram.

C.
Explanation
Remember Area is length times HEIGHT. (Not the length of the tilted side).
Remember the song...A parallelogram's area is simple, multiply the base times height!

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• 4.

• A.

55 in.

• B.

70 in.

• C.

90 in.

• D.

110 in.

D. 110 in.
• 5.

### Find the perimeter of a triangle with sides 9cm, 10cm and 12cm.

• A.

19cm

• B.

21cm

• C.

22cm

• D.

31cm

D. 31cm
Explanation
The perimeter of a triangle is the sum of the lengths of its sides. In this case, the lengths of the sides are 9cm, 10cm, and 12cm. Adding these lengths together gives us a perimeter of 31cm.

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• 6.

• A.

114 ft

• B.

150 ft

• C.

154 ft

• D.

179 ft

C. 154 ft
• 7.

### Find the area of the triangle shown.

B.
Explanation
Divide by 2, divide by 2 multiply and DIVIDE by 2!!

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• 8.

### A window is 2 feet wide.  It's length is twice its width.  Find the area of the window.  (Hint: drawing a picture will probably help)

B.
Explanation
The area of a rectangle is calculated by multiplying its length by its width. In this case, the width of the window is given as 2 feet. The length of the window is stated to be twice its width, which means it is 4 feet. Therefore, the area of the window can be found by multiplying 2 feet (width) by 4 feet (length), resulting in an area of 8 square feet.

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• 9.

### A rectangular table cloth has a length of 90 inches and a width of 60 inches.  What is the perimeter of the tablecloth?

• A.

5,400cm

• B.

150cm

• C.

300cm

• D.

250cm

C. 300cm
Explanation
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the length is 90 inches and the width is 60 inches. Therefore, the perimeter would be 2 times the length plus 2 times the width, which is (2 * 90) + (2 * 60) = 180 + 120 = 300 inches.

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• 10.

### What is the area of the circle?

B.
Explanation
If you selected answer A, you found the circumference instead of the area.

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• 11.

### Find the circumference of the circle.

• A.

8.792cm

• B.

24.618cm

• C.

17.584cm

• D.

25.321cm

C. 17.584cm
Explanation
The circumference of a circle can be found using the formula C = 2πr, where r is the radius of the circle. In this case, the circumference is given as 17.584cm, which means that the radius of the circle must be approximately 8.792cm (since the radius is half the circumference). Therefore, the given answer is correct.

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• 12.

### What is the radius of the circle?

• A.

20.5yd

• B.

20yd

• C.

128.74yd

• D.

22yd

A. 20.5yd
Explanation
The radius of a circle is the distance from the center of the circle to any point on its circumference. In this question, the correct answer is 20.5yd, which means that the distance from the center of the circle to any point on its circumference is 20.5 yards.

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• 13.

### Find the volume of the triangular prism.

A.
Explanation
Find the area of the triangle at the bottom (DIVIDE BY 2, DIVIDE BY 2, MULTIPLY AND DIVIDE BY 2!!!), then multiply by the height of the prism.

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• 14.

D.
• 15.

### Find the volume of the cylinder.

A.
Explanation
Find the area of the circle at the top, then multiply by the height of the cylinder.

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• Current Version
• Dec 01, 2023
Quiz Edited by
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• Mar 08, 2013
Quiz Created by
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