BobertNerdby BobertNerdby

19-09-2016
Mathematics

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The length of a rectangle is 5 cm longer that twice the width. If the total perimeter is 88 cm, what is the length and width?

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nobillionaireNobley nobillionaireNobley

19-09-2016

Let the width be W and the length be 5 + 2W
Perimeter = 2(length + width)
88 = 2(W + 5 + 2W) = 2(3W + 5) = 6W + 10
6W = 88 - 10 = 78
W = 78/6 = 13
L = 5 + 2(13) = 5 + 26 = 31

Therefore, length = 31 cm, width = 13 cm

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