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A rectangle is 4 times as long as it is wide. The perimeter is 30 feet. Find the dimensions.

User Eirikvaa
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2 Answers

12 votes

Answer: 3 by 3 by 12 by 12

Step-by-step explanation: Two sides are x feet long. The two other sides are 4 times x feet long. 4x+4x+x+x =10x

Set that equal to 30 and solve. x=3

Plug back into the original 4x's and x's to get the lengths

User Bhuvanesh
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4.3k points
1 vote

Answer:

Express your length and width as algebraic expressions:

width = x

length = 4x

Use the formula for the perimeter of a rectangle to solve for x:

perimeter = 2(length) + 2(width)

50 = 2(4x) + 2(x)

50 = 8x + 2x

50 = 10x

5 = x

The width (x) is 5 feet and the length (4x) is 20 feet.

Explanation:

User Skiphoppy
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4.2k points