The perimeter of a rectangle is 48 feet. The length is 4 feet less than triple the width. What are the dimensions of the rectangle

Question

the perimeter of a rectangle is 48 feet. The length is 4 feet less than triple the width. What are the dimensions of the rectangle

Answer 1

 

Perimeter = 2 x length + 2 x width

 

  P =  2 L + 2 w

 

 

 L = 3w - 4

 

 

48 = 2 ( 3 w - 4) + 2 w

 

48 = 6w - 8 + 2w

 

48 = 8w - 8

 

56 = 8w

 

w=7

 

L = 3(7) - 4 = 21 - 4 = 17