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21 November, 01:11

A rectangle has a perimeter of 25 in. The length is four times the width. What are the dimensions of the rectangle

(Create an equation!)

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Answers (1)
  1. 21 November, 02:34
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    L = 10 in

    W = 2.5 in

    Step-by-step explanation:

    Let length be L and width be W

    Perimeter = L + L + W + W

    Perimeter = 2L + 2W

    given than length is 4 times the width, or

    L = 4W (substitute this back into the perimeter equation above)

    Perimeter = 2L + 2W

    Perimeter = 2 (4W) + 2W

    Perimeter = 8W + 2W

    Perimeter = 10W

    given that the perimeter is 25in

    25 = 10W

    W = 25 / 10 = 2.5 in (answer for width)

    L = 4W = 4 (2.5) = 10 in (answer for length)
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