Problema Solution

The width of a rectangle is two-third of its length. If the perimeter is 180m,find the dimensions of the rectangle.

Answer provided by our tutors

let


w = the width of the rectangle

l = the length of the rectangle


the width of a rectangle is two-third of its length


w = (2/3)l


the perimeter is 180 m


2(l + w) = 180 divide both sides by 2


l + w = 90


by solving the system of equations


w = (2/3)l

l + w = 90


we find


l = 54 m


w = 36 m


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the length of the rectangle is 54 m.

the width of the rectangle is 36 m.