The length of a rectangular piece of land is 9cm more than three times its width. The perimeter is 418 cm. Find its dimensions

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25-08-2017
Mathematics

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The length of a rectangular piece of land is 9cm more than three times its width. The perimeter is 418 cm. Find its dimensions

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texaschic101 texaschic101 · Answer 1 · 2017-08-25T19:29:18+02:00

texaschic101 texaschic101

25-08-2017

P = 2(L + W)
P = 418
L = 3W + 9

418 = 2(3W + 9 + W)
418 = 2(4W + 9)
418 = 8W + 18
418 - 18 = 8W
400 = 8W
400/8 = W
50 = W <=== width is 50 cm

L = 3W + 9
L = 3(50) + 9
L = 150 + 9
L = 159 <=== length is 159 cm

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