The length of a rectangle is 1 inch less than twice the width. the area is 21 inches what is the length?

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Aidbr4asha3llcaitlyn Aidbr4asha3llcaitlyn

15-03-2017
Mathematics

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The length of a rectangle is 1 inch less than twice the width. the area is 21 inches what is the length?

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what times what equal 16?

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Аноним Аноним · Answer 1 · 2017-03-15T09:42:49+01:00

Аноним Аноним

15-03-2017

width = w
length = 2w-1

Area = length * width
21 = (2w-1) * w
21 = 2w² - w
2w² - w - 21 = 0
2w² + 6w - 7w - 21 = 0
2w(w+3) - 7(w+3) = 0
(2w-7)(w+3) = 0

2w-7 = 0
w = 7/2 = 3.5 inch
length = 3.5*2 - 1 = 6 inch

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