document.write( "Question 544073: he diagonal of a rectangular storage room is 8 yards long. if its length is 2 times its width, find the dimensions of the room \n" ); document.write( "

Algebra.Com's Answer #355021 by JBarnum(2146) $\"\"$ $\"About$

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$\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( "a=length
\n" ); document.write( "b=width
\n" ); document.write( "c=diagnal
\n" ); document.write( "if a=2b and c=8 then solve for b
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( " $\"%282b%29%5E2%2Bb%5E2=%288%29%5E2\"$
\n" ); document.write( " $\"4b%5E2%2Bb%5E2=64\"$
\n" ); document.write( " $\"5b%5E2=64\"$
\n" ); document.write( " $\"b%5E2=%2864%2F5%29\"$
\n" ); document.write( " $\"sqrt%28b%5E2%29=sqrt%2864%2F5%29\"$
\n" ); document.write( " $\"b=sqrt%2864%29%2Fsqrt%285%29\"$
\n" ); document.write( " $\"highlight%28b=8%2Fsqrt%285%29%29\"$
\n" ); document.write( " $\"a=2b\"$
\n" ); document.write( " $\"a=2%288%2Fsqrt%285%29%29\"$
\n" ); document.write( " $\"highlight%28a=16%2Fsqrt%285%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "check
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( " $\"%2816%2Fsqrt%285%29%29%5E2%2B%288%2Fsqrt%285%29%29%5E2=8%5E2\"$
\n" ); document.write( " $\"%28256%2F5%29%2B%2864%2F5%29=64\"$
\n" ); document.write( " $\"256%2B64=320\"$
\n" ); document.write( " $\"320=320\"$
\n" ); document.write( "Correct \n" ); document.write( "

\n" );