Problema Solution

The length of a rectangle is six time its width. If the perimeter of the rectangle is 140ft, find it's area?

Answer provided by our tutors

let


l = the length of the rectangle

w = the width of the rectangle

A = l*w the area of the rectangle

P = 2(l + w) the perimeter of the rectangle


the length of a rectangle is six time its width


l = 6w


the perimeter of the rectangle is 140ft


2(l + w) = 140


by solving the system of equations


l = 6w

2(l + w) = 140


we find


l = 60 ft


w = 10 ft


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A = l*w


A = 60*10 = 600 ft^2


the area if the rectangle is 600 ft^2.