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16 April, 17:06

The length of a rectangle is 6 inches longer than it's width. The perimeter is 96 inches. Find the dimensions (length and width) is the rectangle

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  1. 16 April, 17:33
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    Width = 21 inches and length = 27 inches.

    Step-by-step explanation:

    The formula of perimeter is Perimeter = 2·length + 2·width. The length is 6 inches longer than width, we can call "x" to the width ⇒ length = x + 6.

    Perimeter = 2· (x + 6) + 2·x ⇒ Perimeter = 2x + 12 + 2x ⇒

    Perimeter = 4x + 12 ⇒ 96 = 4x + 12⇒ 96 - 12 = 4x ⇒84 = 4x

    ⇒ 84/4 = x ⇒ x = 21.

    So, width = 21 inches and length = 27 inches.
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