document.write( "Question 655227: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 115 square feet and the dimensions of the pool are 15 feet by 3 feet, how wide is the walk? \n" ); document.write( "
Algebra.Com's Answer #409035 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A man built a walk of uniform width around a rectangular pool. If the area of the walk is 115 square feet and the dimensions of the pool are 15 feet by 3 feet, how wide is the walk? \n" ); document.write( ". \n" ); document.write( "Area of pool: \n" ); document.write( "15*3 = 45 square feet \n" ); document.write( ". \n" ); document.write( "Area of pool and walk: \n" ); document.write( "(x+15)(x+3) = x^2+18x+45 \n" ); document.write( ". \n" ); document.write( "\"area of walk\" = \"area of pool and walk\" - \"area of walk\" \n" ); document.write( "115 = x^2+18x+45 - 45 \n" ); document.write( "115 = x^2+18x \n" ); document.write( "0 = x^2+18x-115 \n" ); document.write( "0 = (x+23)(x-5) \n" ); document.write( "x = {-23, 5} \n" ); document.write( "throw out the negative solution (extraneous) leaving \n" ); document.write( "x = 5 feet \n" ); document.write( " \n" ); document.write( " |