document.write( "Question 1038560: The length of rectangular garden exceeds three time the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden \n" ); document.write( "

Algebra.Com's Answer #653273 by josgarithmetic(39618) $\"\"$ $\"About$

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x    Length\r\n" );
document.write( "y    Width\r\n" );
document.write( "

\n" ); document.write( " $\"system%28x=y%2B12%2Cxy=180%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B12%29y=180\"$
\n" ); document.write( " $\"y%5E2%2B12y=180\"$
\n" ); document.write( " $\"y%5E2%2B12y-180=0\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check Discriminant.
\n" ); document.write( " $\"12%5E2-4%2A1%2A%28-180%29\"$
\n" ); document.write( " $\"144%2B4%2A180\"$
\n" ); document.write( " $\"864\"$
\n" ); document.write( " $\"9%2A96\"$
\n" ); document.write( " $\"9%2A16%2A6\"$
\n" ); document.write( " $\"9%2A4%5E2%2A2%2A3\"$
\n" ); document.write( " $\"3%5E2%2A4%5E2%2A6\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=%28-12%2B-+sqrt%283%5E2%2A4%5E2%2A6%29%29%2F2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=%28-12%2B12%2Asqrt%286%29%29%2F2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=-6%2B6%2Asqrt%286%29%29\"$ -----------------Use this to find x. \n" ); document.write( "

\n" );