Problema Solution

Jim built a rectangular shed with a total floor-surface area of 126 sq feet. If the length is 4 more feet than twice its width, what is the length of the shed?

Answer provided by our tutors

let


A = 126 ft^2 the area of the shed


l = the length, l>0


w = the width, w>0


the length is 4 more feet than twice its width:


l = 4 + 2w


the area A = l*w thus


l*w = 126


plug l = 4 + 2w into the last equation:


(4 + 2w)*w = 126


by solving we find:


w = 7 ft


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l = 4 + 2*7


l = 18 ft


the length of the shed is 18 feet.