document.write( "Question 672196: The perimeter of a rectangle is 34m , and the area of the rectangle is 72m^2 . Find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #417942 by neatmath(302)\"\" \"About 
You can put this solution on YOUR website!

This is a system of 2 equations using geometrical formulae:
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\n" ); document.write( "\n" ); document.write( "\"P=2L%2B2W\"
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\n" ); document.write( "\n" ); document.write( "\"A=L%2AW\"
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\n" ); document.write( "\n" ); document.write( "So we have:
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\n" ); document.write( "\n" ); document.write( "\"34=2L%2B2W\" and \"72=L%2AW\"
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\n" ); document.write( "\n" ); document.write( "Let's use substitution to solve this:
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\n" ); document.write( "\n" ); document.write( "\"L=72%2FW\" Then,
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\n" ); document.write( "\n" ); document.write( "\"34=2%2A%2872%2FW%29%2B2W\"
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\n" ); document.write( "\n" ); document.write( "\"34=%28144%2FW%29%2B2W\"
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\n" ); document.write( "\n" ); document.write( "\"34=%28144%2FW%29%2B%282W%5E2%29%2FW\"
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\n" ); document.write( "\n" ); document.write( "\"34=%282W%5E2%2B144%29%2FW\"
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\n" ); document.write( "\n" ); document.write( "\"34W=2W%5E2%2B144\"
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\n" ); document.write( "\n" ); document.write( "\"0=2W%5E2-34W%2B144\"
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\n" ); document.write( "\n" ); document.write( "\"0=w%5E2-17W%2B72\"
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\n" ); document.write( "\n" ); document.write( "\"0=%28W-8%29%28W-9%29\"
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\n" ); document.write( "\n" ); document.write( "\"W-8=0\" or \"W-9=0\"
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\n" ); document.write( "\n" ); document.write( "\"W=8\" or \"W=9\"
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\n" ); document.write( "\n" ); document.write( "So, our width can equal 8 or 9. This also means our length can also be 9 or 8, respectively.
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\n" ); document.write( "\n" ); document.write( "You can easily check that these values will work.
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\n" ); document.write( "\n" ); document.write( "I hope this helps! :)
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\n" ); document.write( "\n" ); document.write( "Email Scott King: neatmath@yahoo.com for help with specific problems,
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\n" ); document.write( "\n" ); document.write( "or to inquire about income sensitive, low-cost mathematics tutoring via email or other methods.
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\n" ); document.write( "\n" ); document.write( "Paypal is always accepted for detailed assistance with single problems.
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\n" ); document.write( "\n" ); document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity.

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