document.write( "Question 113347: The length of a rectangle is 10cm less than 3 times its width. If the perimeter of the rectangle is at most 180 cm, find the greatest possible length of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #82482 by checkley71(8403)\"\" \"About 
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LENGTH=3W-10
\n" ); document.write( "180=(3W-10)W
\n" ); document.write( "180=3W^2-10W
\n" ); document.write( "3W^2-10W-180=0
\n" ); document.write( "USING THE QUADRATIC EQUATION WE GET:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "W=(10+-SQRT[10^2-4*3*-180])/2*3
\n" ); document.write( "W=(10+-SQRT100+2160])/6
\n" ); document.write( "W=(10+-SQRT2260)/6
\n" ); document.write( "W=(10+-47.54)/6
\n" ); document.write( "W=(10+47.54)/6
\n" ); document.write( "W=57.54)/6
\n" ); document.write( "W=9.59 ANSWER.
\n" ); document.write( "W=(10-47.54)/6
\n" ); document.write( "W=-37.54/6
\n" ); document.write( "W=-6.26 ANSWER.
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