document.write( "Question 1037144: A rectangular pool is 50% longer than it is wide. It is surrounded by a path 1m wide. If the area of the path is 44 square metres, then find the area of the pool in square metres.\r
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Algebra.Com's Answer #651859 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
w width
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\n" ); document.write( "L=(3/2)w for 50% greater\r
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\n" ); document.write( "\n" ); document.write( "Area of just the pool, top surface: \"wL\"\r
\n" ); document.write( "\n" ); document.write( "Area of combined pool and path: \"%28w%2B2%2A1%29%28L%2B2%2A1%29\"\r
\n" ); document.write( "\n" ); document.write( "JUST the path area around pool: \"%28w%2B2%29%28L%2B2%29-wL=44\"\r
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\n" ); document.write( "\n" ); document.write( "Working with the path area equation may be easiest to start the algebra steps.\r
\n" ); document.write( "\n" ); document.write( "\"wL%2B2L%2B2w%2B4-wL=44\"
\n" ); document.write( "\"2L%2B2w%2B4-44=0\"
\n" ); document.write( "\"L%2Bw%2B2-22=0\"
\n" ); document.write( "\"L%2Bw-20=0\"
\n" ); document.write( "Now is a good place to substitute for L.
\n" ); document.write( "\"%283%2F2%29w%2Bw-20=0\"
\n" ); document.write( "\"3w%2B2w-40=0\"
\n" ); document.write( "\"5w-40=0\"
\n" ); document.write( "\"w-8=0\"
\n" ); document.write( "\"highlight%28w=8%29\"-------------\"highlight%28L=12%29\"\r
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\n" ); document.write( "\n" ); document.write( "Pool top surface area is 96 square meters.
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