Problema Solution

The perimeter of a rectangular lot is 80. The length is 1 more than twice the width. Find the length and width

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


P = 80 the perimeter


the length is 1 more than twice the width:


l = 1 + 2w


the perimeter of the rectangle P = 2(l + w) thus we have:


2(l + w) = 80 divide both sides by 2


l + w = 40


by solving the system of equations:


l = 1 + 2w


l + w = 40


we find:


l = 27


w = 13


click here to see the step by step solution of the system of equations:


Click to see all the steps



the length is 27 and the width is 13.