Problema Solution

The length of a rectangle is six times its width.

If the perimeter of the rectangle is 140 yd, find its area.

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


P = 140 yd the perimeter of the rectangle


A = l*w the area of the rectangle


the length of a rectangle is six times its width:


l = 6w


the perimeter P = 2(l + w)


2(l + w) = 140


by solving the system of equations:


l = 6w


2(l + w) = 140


we find:


l = 60 yd


w = 10 yd


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A = 60*10


A = 600 yd^2


the area of the rectangle is 600 yd^2.