document.write( "Question 327379: I saw this problem in my textbook:
\n" ); document.write( "A rectangle has a perimeter of 42 miles and an area of 104 square miles. Find the dimensions of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "My question is... how do you get the answer? I've tried making two equations and solving for one variable, but it didn't work.
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Algebra.Com's Answer #234508 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The formula for perimeter of a rectangle is,
\n" ); document.write( "\"P=2%2AL%2B2%2AW=42\"
\n" ); document.write( "1.\"L%2BW=21\"
\n" ); document.write( "The formula for area of a rectangle is,
\n" ); document.write( "\"A=L%2AW=104\"
\n" ); document.write( "2.\"L%2AW=104\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"L=21-W\"
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( "\"%2821-W%29W=104\"
\n" ); document.write( "\"21W-W%5E2=104%7D%7D%5D%0D%0A%7B%7B%7BW%5E2-21W%2B104=0\"
\n" ); document.write( "You can factor this quadratic,
\n" ); document.write( "\"%28W-13%29%28W-8%29=0\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"W-13=0\"
\n" ); document.write( "\"W=13\" Then from above,
\n" ); document.write( "\"L%2B13=21\"
\n" ); document.write( "\"L=8\"
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\n" ); document.write( ".
\n" ); document.write( "\"W-8=0\"
\n" ); document.write( "\"W=8\"
\n" ); document.write( "\"L=13\"
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( "The rectangle is 13 miles by 8 miles.
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