document.write( "Question 451551: A pool measuring 10 meters by 16 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 832 square meters, what is the width of the path? \n" ); document.write( "
Algebra.Com's Answer #310490 by pedjajov(51)\"\" \"About 
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Path around the pool altogether with pool creates a new rectangle with \r
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\n" ); document.write( "\n" ); document.write( " - length equal to the length of the pool increased by the width of the path
\n" ); document.write( " - width equal to the width of the pool increased by the width of the path\r
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\n" ); document.write( "\n" ); document.write( "If we mark width of the path with x we get the following formula for the area of the new rectangle\r
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\n" ); document.write( "\n" ); document.write( " (10+x)(16+x) =832, do the multiplication
\n" ); document.write( " 160+10x+16x+x^2=832, combine numbers and terms with x
\n" ); document.write( " x^2+26x+160 =832, subtract 832 from the both sides\r
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\n" ); document.write( "\n" ); document.write( " \"x%5E2%2B26x-672++++=0\" , we have quadratic equation to solve\r
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\n" ); document.write( "\n" ); document.write( " \"x+=+%28-26+%2B-+sqrt%28+26%5E2-4%2A1%2A%28-672%29+%29%29%2F%282%2A1%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Two solutions we get are x = 16 or x = -42\r
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\n" ); document.write( "\n" ); document.write( "Only acceptable solution is a positive number so x = 16 meters.
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