document.write( "Question 42288: If the perimeter of a rectangular swimming pool is 118 feet, find the length and width when the length is 1/3 of the width plus 7. (Use P=2L+2W) I can not seem to figure out the correct equation. \n" ); document.write( "

Algebra.Com's Answer #27422 by PaulAllen65270(19) $\"\"$ $\"About$

You can put this solution on YOUR website!
Width is x; length would be $\"%281%2F3%29x%2B7\"$ so the equation is
\n" ); document.write( " $\"118=2%28%281%2F3%29x%2B7%29%2B2x\"$ You can then divide everything by 2
\n" ); document.write( " $\"59=%281%2F3%29x%2B7%2Bx\"$ Then you can multiply everything by 3 to get rid of the fraction
\n" ); document.write( " $\"177=1x%2B21%2B3x\"$ Now combine the x terms
\n" ); document.write( " $\"177=4x%2B21\"$ Isolate the x on one side of the equals by subtracting 21 from both sides
\n" ); document.write( " $\"156=4x\"$ Divide both sides by 4
\n" ); document.write( " $\"x=39\"$ This is the width to find the length you would need to substitute this in the length formula.\r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F3%29%2839%29%2B7\"$ Length equals 20 make sure you label everything. \n" ); document.write( "

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