document.write( "Question 316864: a pool measuring 20 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 1344 sqaure meters, what is the width of the path? \n" ); document.write( "
Algebra.Com's Answer #226772 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Given, the length of the pool = 30 m \n" ); document.write( "And the width of the pool = 20 m \n" ); document.write( "Let the width of the path = x m \n" ); document.write( "Then, the length of the rectangle including the path = 30+x \n" ); document.write( "And the width of the rectangle including the path = 20+x \n" ); document.write( "Total area is (30+x)(20+x) = 1344 \n" ); document.write( " 600+30x+20x+x^2-1344 = 0 \n" ); document.write( "x^2 +50x-744 = 0 \n" ); document.write( "X^2+62x-12x-744=0 \n" ); document.write( "x(x+62)-12(x+62)=0 \n" ); document.write( "(x-12)(x+62)=0 \n" ); document.write( "x=12,-62 \n" ); document.write( "The width of the path is 12 m \n" ); document.write( " |