The width of a rectangle is 3 4 the length. The perimeter is 252 cm. What is the width of the rectangle? A) 36 cm B) 48 cm C) 54 cm D) 72 cm

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01-11-2017
Mathematics

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The width of a rectangle is 3 4 the length. The perimeter is 252 cm. What is the width of the rectangle? A) 36 cm B) 48 cm C) 54 cm D) 72 cm

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altavistard altavistard · Answer 1 · 2017-11-01T21:00:27+01:00

altavistard altavistard

01-11-2017

I willl assume that the width is three fourths of the length: W = (3/4)L. Then
the perimeter is P = 252 cm = 2(W) + 2L = 2(3/4)L + 2L, in terms of L only.

Then (6/4)L + 2L = 252 cm. Clear out the fraction by mult. all terms by 4:

6L + 8L = 252 cm, or 14L = 252 cm. Solving for L, L = 252 cm / 14 = 18

The length, L, is 18, and the width, W, is (3/4)(18 cm) = 13.5 cm (answer)

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