document.write( "Question 865961: A rectangle has an area of 45 m2. The length is 6 m more than three times the width. What is the length of a diagonal of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #521997 by josgarithmetic(39617) $\"\"$ $\"About$

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The first two sentences can give the dimensions. \r
\n" ); document.write( "\n" ); document.write( "x and y dimensions, x is length.
\n" ); document.write( " $\"x=3y%2B6\"$ .
\n" ); document.write( " $\"xy=45\"$
\n" ); document.write( "-
\n" ); document.write( " $\"%283y%2B6%29y=45\"$
\n" ); document.write( " $\"3y%5E2%2B6y-45=0\"$
\n" ); document.write( " $\"y%5E2%2B2y-15=0\"$
\n" ); document.write( " $\"%28y-3%29%28y%2B5%29=0\"$
\n" ); document.write( " $\"highlight%28y=3%29\"$ and $\"3%2A3%2B6=highlight%28x=15%29\"$ .
\n" ); document.write( "-
\n" ); document.write( "The diagonal is a hypotenuse of a right triangle of the rectangle's sides.
\n" ); document.write( " $\"sqrt%283%5E3%2B15%5E2%29\"$
\n" ); document.write( " $\"sqrt%289%2B225%29\"$
\n" ); document.write( " $\"highlight%28sqr%28234%29=15.3%29\"$ ... \n" ); document.write( "

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