A rectangle has a length 4 m less than twice

Question

A rectangle has a length 4 m less than twice its width. When 5 m are added to the width, the resulting figure is a square with an area of 196 m squared. Find the dimensions of the original rectangle.

Answer 1

Length L, width W

 

L = 2w-4

 

Square with area 196 has side measure 14.

w + 5 = 14

w = 9

 

l = 2(9)-4 = 14

 

rectangle 14 x 9 has area 126