document.write( "Question 316794: 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 square meters, what is the width of the path? \n" ); document.write( "
Algebra.Com's Answer #226949 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 20*30=600 area of the pool. \n" ); document.write( "(20+2x)(30+2x)=1,344 \n" ); document.write( "600+60x+40x+100=1,344 \n" ); document.write( "4x^2+100x+600-1,344=0 \n" ); document.write( "4x^2+100x-744=0 \n" ); document.write( "4(x^2+25x-186)=0 \n" ); document.write( "4(x-6)(x+31)=0 \n" ); document.write( "x-6=0 \n" ); document.write( "x=6 width of the path. \n" ); document.write( "Proof: \n" ); document.write( "(20+2*6)(30+2*6)=1,344 \n" ); document.write( "32*42=1,344 \n" ); document.write( "1,344=1,344\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |