document.write( "Question 180562: A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet? \n" ); document.write( "
Algebra.Com's Answer #135322 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! \"area of outside edge of gravel path\" - \"area of garden\" = 192 \n" ); document.write( ". \n" ); document.write( "Let x = width of gravel path \n" ); document.write( "then \n" ); document.write( "(2x+15)(2x+11) - (15)(11) = 192 \n" ); document.write( "4x^2+22x+30x+165 - 165 = 192 \n" ); document.write( "4x^2+52x = 192 \n" ); document.write( "x^2+13x = 48 \n" ); document.write( "x^2+13x-48 = 0 \n" ); document.write( "factoring: \n" ); document.write( "(x+16)(x-3) = 0 \n" ); document.write( "x = {-16, 3} \n" ); document.write( ". \n" ); document.write( "Tossing out the negative solution leaves us with: \n" ); document.write( "width of path = 3 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |