Mixedemotions8370 Mixedemotions8370

26-08-2017
Mathematics

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The rectangle has a perimeter p of 58 inches. the length l is one more than 3 times the width w. write and solve a system of linear equations to find the length and width

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texaschic101 texaschic101

26-08-2017

P = 2(L + W)
P = 58
L = 3W + 1

58 = 2(3W + 1 + W)
58 = 2(4W + 1)
58 = 8W + 2
58 - 2 = 8W
56 = 8W
56/8 = W
7 = W <=== width is 7 inches

L = 3W + 1
L = 3(7) + 1
L = 21 + 1
L = 22 <=== length is 22 inches

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