Problema Solution

Area of a rectangle is 176 sq meters, the width is 3 meters longer than one half of the length. Find the length and width of the rectangle

Answer provided by our tutors

let


w = the width of the rectangle

l = the length of the rectangle


area of a rectangle is 176 sq meters


w*l = 176


the width is 3 meters longer than one half of the length


w = 3 + (l/2)


if we plug w = 3 + (l/2) into w*l = 176 we get


(3 + l/2)*l = 176


by solving we find


l = 16 m


we consider only the positive roots since the length can not be a negative number


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w = 3 + 16/2


w = 11 m


the length is 16 m.

the width is 11 m.