document.write( "Question 143297: I need help in solving the following. Thank you.\r
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document.write( "A rectangular garden has dimensions of 23ft by 11ft. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 240 square feet. I was trying to solve this by using the formula (23-2x)(11-2x) = 240 but I cant find the solution to work. Any help would be appreciated to point me in the right direction. Thank you. \n" );
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Algebra.Com's Answer #104277 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 23*11=253^ft is the area of the garden \n" ); document.write( "(23+2x)(11+2x)=253+240 \n" ); document.write( "253+22x+46x+4x^2=493 \n" ); document.write( "4x^2+68x+253-493=0 \n" ); document.write( "4x^2+68x-240=0 \n" ); document.write( "4(x^2+17x-60)=0 \n" ); document.write( "4(x-3)(x+20)=0 \n" ); document.write( "x-3=0 \n" ); document.write( "x=3 ft. for the width of the path. \n" ); document.write( "proof: \n" ); document.write( "(23+2*3)(11+2*3)=493 \n" ); document.write( "(23+6)(11+6)=493 \n" ); document.write( "29*17=493 \n" ); document.write( "493=493 \n" ); document.write( " |