Problema Solution

the width of a rectangle is 2 feet less than the length. the area of the rectangle is 24 square feet. find the length and the 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 2 feet less than the length


w = l - 2


the area of the rectangle is 24 square feet


l*w = 24


plug w = l - 2 into the last equation


l*(l - 2) = 24


by solving we find


l = 6 ft


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w = 6 - 2


w = 4 ft


the length of the rectangle is 6 feet.

the width of the rectangle is 4 feet.