document.write( "Question 314823: You are putting a stone border of uniform width around a rectangular garden that measures 6 yards by 15 yards. You only have enough stone to cover 100 square yards. How wide should the border be?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I am factoring polynomials and i have to use the five step problem solving strategy.\r
\n" ); document.write( "\n" ); document.write( "Let x=width of border\r
\n" ); document.write( "\n" ); document.write( "so i set it up \r
\n" ); document.write( "\n" ); document.write( "0=x+6ft*15feet-100
\n" ); document.write( "But i don't think that right can you help
\n" ); document.write( "Thank You!
\n" ); document.write( "

Algebra.Com's Answer #225146 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
let the stone width be x yards
\n" ); document.write( "..
\n" ); document.write( "the width and length of garden = 6 yards and 15 yards\r
\n" ); document.write( "\n" ); document.write( "the width of the plot including the stone will be 6+2x
\n" ); document.write( "The length will be 15+2x
\n" ); document.write( "The area of the plot including the stone = (2x+6)(2x+15)
\n" ); document.write( "The area of the total plot - area of garden = arae of the stone.
\n" ); document.write( "..
\n" ); document.write( "(2x+6)(2x+15)-15*6 = 100
\n" ); document.write( "4x^2+30x+12x+90-90=100
\n" ); document.write( "4x^2+42x-100=0 ( divide by 2)
\n" ); document.write( "2x^2+21x-50=0
\n" ); document.write( "2x^2+25x-4x-50=0
\n" ); document.write( "x(2x+25)-2(2x+25)=0
\n" ); document.write( "(2x+25)(x-2)=0
\n" ); document.write( "so x =2 yards the width of the stone
\n" ); document.write( "
\n" );