Problema Solution

A rectangle is constructed. The length of this rectangle is double the width. Then a new rectangle is made by increasing each side by 3 meters. The perimeter of the new rectangle is 2 meters greater than four times the length of the old rectangle. Find the dimensions of the original rectangle.

Answer provided by our tutors

let length = 2x

width = x

new rectangle:

length = 2x+3

width = x+3

perimeter = 2(3x+6)

  = 6x + 12

=> 6x + 12 = 8x + 2

=> x = 5

width = 5 meters

length = 10 meters