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This quiz is based on 6th Grade SOL's for math. Area and perimeter of 4-sided shapes and triangles.
Questions and Answers
1.
What is the perimeter of a swimming pool that is 97 feet in length and 17 feet wide?
A.
211 sq ft
B.
1,649 ft.
C.
228 ft
D.
114 ft
Correct Answer C. 228 ft
Explanation The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the swimming pool has a length of 97 feet and a width of 17 feet. To find the perimeter, we add twice the length and twice the width: 2(97) + 2(17) = 194 + 34 = 228 feet. Therefore, the correct answer is 228 ft.
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2.
What is the perimeter of an equilateral triangle with side lengths of 13 cm.?
A.
169 cm
B.
52 cm
C.
26 cm
D.
39 cm
Correct Answer D. 39 cm
Explanation An equilateral triangle has all three sides of equal length. Therefore, the perimeter of an equilateral triangle with side lengths of 13 cm would be 13 cm + 13 cm + 13 cm = 39 cm.
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3.
Dr. McLaughlin designed a new bulletin board in the shape of a parallelogram. The base of the board is 471.5 cm., the height is 21.3 cm., and the side length is 24 cm. What is the perimeter of the McLaughlin B-Board?
A.
991 cm
B.
519.5 cm
C.
10,316 cm
D.
10,042.95 cm
Correct Answer B. 519.5 cm
Explanation The perimeter of a parallelogram is calculated by adding up the lengths of all its sides. In this case, the base and the side lengths are given. The base is 471.5 cm and there are two sides of length 24 cm each. To find the perimeter, we add the base length with twice the side length: 471.5 cm + 2(24 cm) = 471.5 cm + 48 cm = 519.5 cm.
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4.
Megan wants to build a fence around her vegetable garden. Her garden, which has three varieties of tomatoes, potatoes, lettuce, squash, and cucumbers, all which she sells at the Farmer's Market and kindly splits her profits with her favorite charity, the SPCA, is 8 ft. long and 3.25 ft wide. How much fencing will Megan need for her wonderful garden?
A.
26 sq ft
B.
22.50 ft
C.
11.25 sq ft
D.
24 ft
Correct Answer B. 22.50 ft
Explanation Megan's garden is 8 ft long and 3.25 ft wide. To calculate the amount of fencing needed, we need to find the perimeter of the garden. The formula for the perimeter of a rectangle is 2*(length + width). Plugging in the values, we get 2*(8 + 3.25) = 2*(11.25) = 22.50 ft. Therefore, Megan will need 22.50 ft of fencing for her garden.
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5.
Jonathan has created a new pencil that is in the shape of a triangle. He is trying to develop the best way to market this invention. His pencil seems to be a bit awkward and no sides are the same. He calls it the Scalene Pencil by Big "J". His triangle has side lengths of 3 cm., 1.6 cm., and 2.2 cm. What is the perimeter of his new invention?
A.
8.6 cm
B.
6.8 cm.
C.
6.6 cm.
D.
4.8 cm.
Correct Answer B. 6.8 cm.
Explanation The perimeter of a triangle is calculated by adding the lengths of all its sides. In this case, the lengths of the sides are 3 cm, 1.6 cm, and 2.2 cm. Adding these lengths together gives a total of 6.8 cm, which is the perimeter of Jonathan's new invention.