document.write( "Question 323820: The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its dimensions? \n" ); document.write( "

Algebra.Com's Answer #231799 by Fombitz(32388) $\"\"$ $\"About$

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The area of a rectangle is,
\n" ); document.write( "1. $\"A=L%2AW=24\"$
\n" ); document.write( "The perimeter of a rectangle is,
\n" ); document.write( " $\"P=2L%2B2W=20\"$
\n" ); document.write( "2. $\"L%2BW=10\"$
\n" ); document.write( "From eq. 2, $\"L=10-W\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"%2810-W%29W=24%7D%7D%0D%0A%7B%7B%7B10W-W%5E2=24\"$
\n" ); document.write( " $\"W%5E2-10W%2B24=0\"$
\n" ); document.write( " $\"%28W-6%29%28W-4%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"W-6=0\"$
\n" ); document.write( " $\"W=6\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"L%2B6=10\"$
\n" ); document.write( " $\"L=4\"$
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\n" ); document.write( " $\"W-4=0\"$
\n" ); document.write( " $\"W=4\"$
\n" ); document.write( " $\"L%2B4=10\"$
\n" ); document.write( " $\"L=6\"$
\n" ); document.write( "The rectangle is 4 inches by 6 inches. \n" ); document.write( "

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