Problema Solution

The area of a rectangle is 28 square inches. The length is 8 more than thrice the width. 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 area of a rectangle is 28 square inches


l*w = 28


The length is 8 more than thrice the width


l = 8 + 3w


plug l = 8 + 3w into l*w = 28


(8 + 3w)*w = 28


by solving we find


w = 2 in


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l = 8 +3*2


l = 14 in


the width is 2 inches while the length is 14 inches.