Question 622425
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
A rug is to fit in a room so that a border of consistent width is left on all four sides.  
If the room is 9 feet by 25 feet and the area of the rug is 57 square feet,
how wide {{{highlight(x)}}}will the border be?
 (9-2x)(25-2x)  = 57ft^2
 9*25 - 68x + 4x^2  = 57
        4x^2 - 68x +168 = 0
         x^2 - 17x + 42  = 0
Factoring
      (x - 14)(x-3) = 0
               x = 3' the width of the border.  (throwing out 14 for the border)
CHECKING our Answer***
        3 * 19 = 57ft^2