Problema Solution

Find the length and width of a rectangle that has an area of 28ft squared and a length that is 3 more than its width.

Answer provided by our tutors

let


l = the length of the rectangle, l>0


w = the width of the rectangle, w>0


A = 28 ft^2


the length is 3 more than its width:


l = w + 3


the area of the rectangle is A = l*w thus we have:


l*w = 28


plug l = w + 3 into the last equation:


(w + 3)w = 28


by solving we find:


w = 4 ft


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l = w + 3


l = 4 + 3


l = 7 ft


the length is 7 ft and the width is 4 ft.