Problema Solution

The length of a rectangle is 3 cm more than twice its width. The perimeter is 165 cm. Find the length of the rectangle.

Answer provided by our tutors

let


w = the width of the rectangle and w>0

l = the length of the rectangle and l>0


the length of a rectangle is 3 cm more than twice its width


l = 3 + 2w


the perimeter of the rectangle is 165 cm


2*(w + l) = 165


by solving the system of equations


l = 3 + 2w

2*(w + l) = 165


we find


l = 56 cm


w = 26.5 cm


the length of the rectangle is 56 cm.