document.write( "Question 166235: The length of a rectangle floor is 8 meter less than twice its width. If a diagonal of the rectangle is 20 meters, find the length and width of the floor. \n" ); document.write( "
Algebra.Com's Answer #122525 by checkley77(12844)\"\" \"About 
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L=2W-8
\n" ); document.write( "(2W-8)^2+W^2=20^2
\n" ); document.write( "4W^2-32W+64+W^2=400
\n" ); document.write( "5W^2-32W+64-400=0
\n" ); document.write( "5W^2-32W-336=0
\n" ); document.write( "(5W+28)(W-12)=0
\n" ); document.write( "W=12 M. IS THE WIDTH.
\n" ); document.write( "L=2*12-8=24-8=16 M. IS THE LENGTH.
\n" ); document.write( "PROOF:
\n" ); document.write( "12^2+16^2=20^2
\n" ); document.write( "144+256=400
\n" ); document.write( "400=400
\n" ); document.write( "
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