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)\"\" \"About 
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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
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