document.write( "Question 895844: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width if the area of the pool and path combined is 416 square meters what is the width of the path \n" ); document.write( "
Algebra.Com's Answer #543104 by josgarithmetic(39617)\"\" \"About 
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Total dimensions: Using w for width of the path,\r
\n" ); document.write( "\n" ); document.write( "2w+10 and 2w+20.
\n" ); document.write( "\"%282w%2B10%29%282w%2B20%29=416\" to account for combined pool area and path area.\r
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\n" ); document.write( "\n" ); document.write( "Simplify.
\n" ); document.write( "\"2%28w%2B5%292%28w%2B10%29=2%2A2%2A104\"
\n" ); document.write( "\"%28w%2B5%29%28w%2B10%29=104\"
\n" ); document.write( "\"w%5E2%2B15w%2B50=104\"
\n" ); document.write( "\"w%5E2%2B15w-54=0\"
\n" ); document.write( "Discriminant, \"15%5E2%2B4%2A54=441=21%5E2\"
\n" ); document.write( "\"w=%28-15%2B21%29%2F2\"
\n" ); document.write( "\"highlight%28w=3%29\"\r
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\n" ); document.write( "\n" ); document.write( "That quadratic IS factorable as (w-3)(w+18) and the equation could be solved through factoring.
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