SOLUTION: A rectangular garden is 15 by 12 meters, you need to have a rectangular area inside such that a uniform strip of side walk is made, the area inside has to be 108 square meters. Fin

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A rectangular garden is 15 by 12 meters, you need to have a rectangular area inside such that a uniform strip of side walk is made, the area inside has to be 108 square meters. Fin      Log On


   



Question 36070: A rectangular garden is 15 by 12 meters, you need to have a rectangular area inside such that a uniform strip of side walk is made, the area inside has to be 108 square meters. Find the dimensions of the interior area.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
108=(15+2x)(12+2x)-(15*20)
108=180+4x^2+54x-180
4x^2+54x-108=0
x^2+13.5x-27=0
solve that you get
x=1.77
Hence, the uniform side is 1.77cm
Paul.