document.write( "Question 1194281: The area of a rectangle is the square root of 3m^2 and the length of a diagonal is 2m. Find its dissensions \n" ); document.write( "

Algebra.Com's Answer #826429 by josgarithmetic(39625) $\"\"$ $\"About$

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x, y, the dimensions\r
\n" ); document.write( "\n" ); document.write( " $\"system%28xy=sqrt%283%29%2Csqrt%28x%5E2%2By%5E2%29=2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "I have not tried to solve this thoroughly, but ...\r
\n" ); document.write( "\n" ); document.write( "y^2+x^2=4
\n" ); document.write( "y^2=4-x^2\r
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\n" ); document.write( "\n" ); document.write( "x^2*y^2=3
\n" ); document.write( "therefore
\n" ); document.write( "x^2*(4-x^2)=3, one equation in just one unknown variable\r
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\n" ); document.write( "\n" ); document.write( " $\"-x%5E4%2B4x%5E2-3=0\"$
\n" ); document.write( " $\"x%5E4-4x%5E2%2B3=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"u=x%5E2\"$
\n" ); document.write( "THEN
\n" ); document.write( " $\"u%5E2-4u%2B3=0\"$
\n" ); document.write( " $\"%28u-1%29%28u-3%29=0\"$
\n" ); document.write( " $\"u=1\"$ OR $\"u=3\"$ \r
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