Problema Solution

The length of a new rectangular playing field is 4 yards longer than quadruple the width, If the perimeter of the new rectangular playing field is 488 yards, what are its dimensions?

Answer provided by our tutors

let


l = the length of the field


w = the width of the field


the length of a new rectangular playing field is 4 yards longer than quadruple the width:


l = 4 + 4w


the perimeter of the new rectangular playing field is 488 yards:


2(l + w) = 488


by solving the system of equations:


l = 4 + 4w


2(l + w) = 488


we find:


l = 196 yd


w = 48 yd


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


Click to see all the steps



the dimensions of the field are: the length is 196 yards and the width is 48 yards.