Problema Solution

the perimeter of a rectangle is 72m. the length is 6 meters less than three times 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 = 72 m in the perimeter of the rectangle


the length is 6 meters less than three times the width


l = 3w - 6


the perimeter P = 2(l + w)


2(l + w) = 72 divide both sides by 2


l + w = 36


by solving the system of equations


l = 3w - 6

l + w = 36


we find


l = 25.5 m


w = 10.5 m


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


Click to see all the steps



the length is 25.5 meters.

the width is 10.5 meters.