document.write( "Question 962483: The width of a rectangle is 3 less than twice its length. If the area of the rectangle is 87 cm^2, what is the length of the diagonal? \n" ); document.write( "
Algebra.Com's Answer #588111 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
w=-3+2L and wL=87 using w for width and L for length. The question is to find \"sqrt%28w%5E2%2BL%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"L%282L-3%29=87\"
\n" ); document.write( "\"2L%5E2-3L-87=0\"
\n" ); document.write( "\"L=%283%2B-+sqrt%289%2B4%2A2%2A87%29%29%2F%284%29\"
\n" ); document.write( "\"L=%283%2B-+sqrt%28705%29%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "That discriminant is 15*47, so no further simplifications.\r
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\n" ); document.write( "\n" ); document.write( "\"L=%283%2Bsqrt%28705%29%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "Your choice if you want to handle everything in radical form or to put into decimal base-ten number form. You want something like or equivalent to
\n" ); document.write( "\"w=%283%2Bsqrt%28705%29%29%2F2-3\"
\n" ); document.write( "and then
\n" ); document.write( "\"sqrt%28%28%283%2Bsqrt%28705%29%29%2F2-3%29%5E2%2B%28%283%2Bsqrt%28705%29%29%2F4%29%5E2+%29\"
\n" ); document.write( "Decimalized base-ten form would be easier.
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