The area of the carpet for the living room was 62ft^2 the rectangular frame the carpenter built for the living room has dimensions such that the length is 2ft longer then the width. What are the dimensions of the frame?

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

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(3x-8) or (3x+8)

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