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5 November, 06:18

The width of a rectangle is 12 inches more than the length. The perimeter is 76 inches. Find the width and the length.

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  1. 5 November, 09:32
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    The length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

    Step-by-step explanation:

    You have to consider the formula of the perimeter = 2·length + 2·width.

    If we call "x" to the length ⇒ width = x + 12.

    Perimeter = 2x + 2· (x + 12) ⇒ Perimeter = 2x + 2x + 24

    ⇒Perimeter = 4x + 24. ⇒ 76 = 4x + 24 ⇒ 76 - 24 = 4x ⇒52 = 4x

    ⇒ 52/4 = x ⇒ x = 13.

    So, the length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.
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