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)

Question

Mathematics

Chen

3 November, 06:28

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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Answers (1)

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Yair Zuniga · Answer 1

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