Problema Solution

the width of a rectangle is 13 ft less than twice its length, if the area of the rectangle is 68 sq ft , find its length and width

Answer provided by our tutors

Let

l = the length of the rectangle, l>0

w = the width of the rectangle, w>0

The width of a rectangle is 13 ft less than twice its length:

w = 2l - 13

The area is 68 ft^2:

l*w = 68

plug w = 2l - 13 into the last equation:

l*(2l - 13) = 68

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click here to see the equation solved for l

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l = 9.93 ft

w = 2*9.93 - 13

w = 6.86 ft

The length is 9.93 ft and the width is 6.86 ft.