document.write( "Question 600385: A rectangle has a diagonal measuring 13 feet and its area is 60 ft^2. What are its dimensions? \n" ); document.write( "

Algebra.Com's Answer #379332 by alicealc(293) $\"\"$ $\"About$

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let the rectangle's length = L and rectangle's width = W\r
\n" ); document.write( "\n" ); document.write( " $\"L%2AW+=+60%2C+so+L+=+60%2FW\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"L%5E2+%2B+W%5E2+=+13%5E2\"$
\n" ); document.write( " $\"%2860%2FW%29%5E2+%2B+W%5E2+=+169\"$
\n" ); document.write( " $\"3600%2FW%5E2+%2B+W%5E2+=+169\"$
\n" ); document.write( "multiply all by $\"W%5E2\"$
\n" ); document.write( " $\"3600+%2B+W%5E4+=+169W%5E2\"$
\n" ); document.write( " $\"W%5E4+-+169W%5E2+%2B+3600+=+0\"$
\n" ); document.write( "Factorize it into:
\n" ); document.write( " $\"%28W%5E2+-+144%29%2A%28W%5E2+-+25%29+=+0\"$
\n" ); document.write( " $\"W%5E2+-+144+=+0+or+W%5E2+-+25+=+0\"$
\n" ); document.write( " $\"W%5E2+=+144\"$ or $\"W%5E2+=+25\"$
\n" ); document.write( " $\"W=12\"$ or $\"W=-12\"$ or $\"W+=5\"$ or $\"W=-5\"$
\n" ); document.write( "because the dimension of a rectangle can't be negative numbers, so
\n" ); document.write( "W = 12 or W = 5
\n" ); document.write( "if W = 12 then L = 60/12 = 5
\n" ); document.write( "if W = 5 then L = 60/5 = 12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so the dimension of the rectangle is 12 ft x 5 ft \n" ); document.write( "

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