document.write( "Question 250625: the perimeter of a rectangle is 34 m and the diagonal is 13 m. find the dimensions and calculate the area. \n" ); document.write( "

Algebra.Com's Answer #182530 by Fombitz(32388) $\"\"$ $\"About$

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$\"2L%2B2W=34\"$
\n" ); document.write( "1. $\"L%2BW=17\"$
\n" ); document.write( "2. $\"L%5E2%2BW%5E2=13%5E2\"$
\n" ); document.write( "From 1,
\n" ); document.write( " $\"L=17-W\"$
\n" ); document.write( " $\"L%5E2=289-34W%2BW%5E2\"$
\n" ); document.write( "Subsitute into 2,
\n" ); document.write( " $\"L%5E2%2BW%5E2=13%5E2\"$
\n" ); document.write( " $\"289-34W%2BW%5E2%2BW%5E2=13%5E2\"$
\n" ); document.write( " $\"2W%5E2-34W%2B289=169\"$
\n" ); document.write( " $\"2W%5E2-34W%2B120=0\"$
\n" ); document.write( " $\"%282W-10%29%28W-12%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"2W-10=0\"$
\n" ); document.write( " $\"2W=10\"$
\n" ); document.write( " $\"W=5\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"L%2BW=17\"$
\n" ); document.write( " $\"L=12\"$
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\n" ); document.write( "The second solution is
\n" ); document.write( " $\"W-12=0\"$
\n" ); document.write( " $\"W=12\"$
\n" ); document.write( " $\"L=5\"$
\n" ); document.write( ".
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\n" ); document.write( "The area of the rectangle is
\n" ); document.write( " $\"A=LW=%285%29%2812%29=60+m%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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