Mathematics

the formula for the perimeter of a rectangle is P=2l, + 2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find it's dimensions if it's length is 3 inches greater than it's width.


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caroly

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P = 24 inches w = x l = 3 + x P = 2l + 2w 24 = 2(3+x) + 2(x) 24 = 6 + 2x + 2x 24 = 6 + 4x 24 - 6 = 4x 18 = 4x 18/4 = x 4.5 = x x = 4.5 Therefore, w = 4.5 inches and l =  7.5 inches

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