document.write( "Question 829785: The perimeter of a rectangle is 66 centimeters. The length is twice the width. Find the length of the diagonal. Round to the nearest tenth
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Algebra.Com's Answer #500104 by josgarithmetic(39618) $\"\"$ $\"About$

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x length
\n" ); document.write( "w width\r
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\n" ); document.write( "\n" ); document.write( " $\"x=2w\"$ ;
\n" ); document.write( "Perimeter information means $\"2x%2B2w=66\"$
\n" ); document.write( " $\"x%2Bw=33\"$
\n" ); document.write( " $\"2w%2Bw=33\"$ , when substituted for x.
\n" ); document.write( " $\"3w=33\"$
\n" ); document.write( " $\"highlight%28w=11%29\"$
\n" ); document.write( "'
\n" ); document.write( " $\"x=2w\"$
\n" ); document.write( " $\"x=2%2A11\"$
\n" ); document.write( " $\"highlight%28x=22%29\"$
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\n" ); document.write( "The diagonal is hypotenuse of the triangle having sides 11 and 22.
\n" ); document.write( "Use Pythagorean Theorem:
\n" ); document.write( " $\"h%5E2=11%5E2%2B22%5E2\"$
\n" ); document.write( " $\"h=sqrt%2811%5E2%2B22%5E2%29\"$
\n" ); document.write( " $\"h=sqrt%28121%2B484%29\"$
\n" ); document.write( " $\"h=sqrt%28605%29\"$
\n" ); document.write( " $\"highlight%28h=11%2Asqrt%285%29%29\"$ , the diagonal \n" ); document.write( "

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