CyanKitten9062 CyanKitten9062

05-09-2018
Mathematics

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A rectangle's length is 8 inches more than three times the width. If the perimeter is 128 inches, what are the rectangle's dimensions (length and width)

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tramserran tramserran

07-09-2018

Length (L): 3w + 8

width (w): w

Perimeter (P) = 2L + 2w

128 = 2(3w + 8) + 2(w)

128 = 6w + 16 + 2w

128 = 8w + 16

112 = 8w

14 = w

Length (L): 3w + 8 = 3(14) + 8 = 42 + 8 = 50

Answer: width = 14 inches, length = 50 inches

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