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What are the dimensions of Stephanie's retailer garden if the length is twice the width and the perimeter is 60 feet?

A) Length: 15 feet, Width: 30 feet
B) Length: 20 feet, Width: 10 feet
C) Length: 30 feet, Width: 15 feet
D) Length: 10 feet, Width: 20 feet

1 Answer

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Final answer:

The dimensions of Stephanie's rectangular garden, with a length twice the width and a 60-feet perimeter, are found to be a length of 20 feet and a width of 10 feet, matching option B.

Step-by-step explanation:

Finding the Dimensions of the Garden

We are tasked with finding the dimensions of Stephanie's rectangular garden given that the length is twice the width and the perimeter is 60 feet. The formula for the perimeter (P) of a rectangle is P = 2(length + width). If we let W represent the width, then the length (L) = 2W. Substituting these into the perimeter formula gives us:

60 = 2(2W + W)

60 = 2(3W)

60 = 6W

W = 10 feet

Since the length is twice the width, L = 2 × 10 = 20 feet. Therefore, the dimensions of Stephanie's garden are a length of 20 feet and a width of 10 feet, which corresponds to option B.

The correct answer is: Length: 20 feet, Width: 10 feet

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