document.write( "Question 1066639: a rectangular swimming pool measures 12m by 5m and a path of uniform width runs around the pool. The total area of the pool and path is 120m^2. find the width of the path \n" ); document.write( "
Algebra.Com's Answer #681852 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! pool has area of 60 m^2 \n" ); document.write( "pool+ path has dimensions of (12+2x)(5+2x), where x is the addition of the width to each dimension. \n" ); document.write( "4x^2+34x+60=120 \n" ); document.write( "4x^2+34x-60=0 \n" ); document.write( "divide by 2, both sides \n" ); document.write( "2x^2+17x-30=0 \n" ); document.write( "(2x-3)(x+10)=0 \n" ); document.write( "2x=3, only positive root \n" ); document.write( "x=3/2 m. \n" ); document.write( "dimensions are 15*8=120 m^2. \n" ); document.write( " |