Problema Solution

A rectangle has a perimeter of 68 in. The length is 2 in. less than 3 times the width. What is the length and width?

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


P = 68 in the perimeter


the length is 2 in. less than 3 times the width:


l = 3w - 2


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


2(l + w) = 68 divide both sides by 2


l + w = 34


by solving the system of equations:


l = 3w - 2


l + w = 34


we find:


l = 25 in


w = 9 in


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


Click to see all the steps



the length is 25 inches and the width is 9 inches.