the length of a rectangle is 7 yd more than 5 times the width. the perimeter is 150 yd. find the length and the width.

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17-09-2017
Mathematics

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the length of a rectangle is 7 yd more than 5 times the width. the perimeter is 150 yd. find the length and the width.

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texaschic101 texaschic101 · Answer 1 · 2017-09-17T03:24:57+02:00

texaschic101 texaschic101

17-09-2017

P = 2(L + W)
P = 150
L = 5W + 7

150 = 2(5W + 7 + W)
150 = 2(6W + 7)
150 = 12W + 14
150 - 14 = 12W
136 = 12W
136/12 = W
11.33 (or 11 1/3) = W <=== width

L = 5W + 7
L = 5(34/3) + 7
L = 170/3 + 7
L = 170/3 + 21/3
L = 191/3 (or 63 2/3) = L <=== length

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