Problema Solution

a rectangle is drawn so that the width is 3 feet shorter than the length. the area of the rectangle is 28 square feet. find the length of the rectangle.

Answer provided by our tutors

let


l = the length of the rectangle, l>0


w = the width of the rectangle, w>0


the width is 3 feet shorter than the length:


w = l - 3


the area of the rectangle is 28 square feet:


l*w = 28


plug w = l - 3 into the last equation:


l*(l - 3) = 28


by solving we find:


l = 7 ft


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the length of the rectangle is 7 feet.