The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 98 inches, what are the dimensions of the rectangle?

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02-03-2016
Mathematics

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The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 98 inches, what are the dimensions of the rectangle?

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SmarticalParticals SmarticalParticals · Answer 1 · 2016-03-02T04:48:45+01:00

SmarticalParticals SmarticalParticals

02-03-2016

Let width = x

length = 2x + 1

perimeter = 2 (L) + 2 (W)

98 = 2 (x) + 2 (2x + 1)
98 = 2x + 4x + 2
98 = 6x + 2
96 = 6x
96/6 = x
16 = x

width = 16 in

length = 2x + 1 = 2 (16) + 1 = 33 in

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