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 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



        

      

   

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