document.write( "Question 816293: The area of a rectangle is 33m squared, and the length of the rectangle is 5m less than twice the width. Find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #491464 by TimothyLamb(4379)\"\" \"About 
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a = Lw = 33 sq.m
\n" ); document.write( "L = 2w - 5
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\n" ); document.write( "Lw = 33
\n" ); document.write( "(2w - 5)w = 33
\n" ); document.write( "2w^2 - 5w - 33 = 0
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\n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=-5, and c=-33
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\n" ); document.write( "to solve the quadratic equation, plug this:
\n" ); document.write( "2 -5 -33
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\n" ); document.write( "---
\n" ); document.write( "the roots of the quadratic are:
\n" ); document.write( "w = -3
\n" ); document.write( "w = 5.5
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\n" ); document.write( "the negative root doesn't make sense for a length, so use the positive root
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\n" ); document.write( "Answer:
\n" ); document.write( "w = 5.5 m
\n" ); document.write( "L = 6.0 m
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