document.write( "Question 915860: a rectangular 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 600 square meters, what is the width of the path? \n" ); document.write( "

Algebra.Com's Answer #555827 by josgarithmetic(39615) $\"\"$ $\"About$

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w, width of path\r
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\n" ); document.write( "\n" ); document.write( " $\"600=%2810%2B2w%29%2820%2B2w%29\"$
\n" ); document.write( "The left member is given; the right member can be obtained from making a rectangular drawing and labeling all values or numeric parts.\r
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\n" ); document.write( "\n" ); document.write( "Divide both side by 4, first, to simplify.
\n" ); document.write( " $\"%285%2Bw%29%2810%2Bw%29=150\"$
\n" ); document.write( " $\"w%5E2%2B15w%2B50=150\"$
\n" ); document.write( " $\"w%5E2%2B15w-100=0\"$
\n" ); document.write( " $\"highlight_green%28%28w-5%29%28w%2B20%29=0%29\"$ \n" ); document.write( "

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