document.write( "Question 58533: A rectangle is twice as long as it is wide. If the length and width are each decreased by 4cm, the area is reduced by224cm squared. Find the dimensions of the original rectangle. \n" ); document.write( "
Algebra.Com's Answer #40074 by checkley71(8403)\"\" \"About 
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L=2W
\n" ); document.write( "(2W-4)*(W-4)=2W*W-224
\n" ); document.write( "THUS
\n" ); document.write( "2W^2-12W+16=2W^2-224
\n" ); document.write( "2W^2-2W^2-12W+16=224=0
\n" ); document.write( "-12W+240=0
\n" ); document.write( "-W+20=0
\n" ); document.write( "-W=-20
\n" ); document.write( "W=20 IS THE WIDTH
\n" ); document.write( "L=2*20
\n" ); document.write( "L=40 IS THE LENGTH
\n" ); document.write( "PROOF
\n" ); document.write( "(40-4)(20-4)=40*20-224
\n" ); document.write( "36*16=800-224
\n" ); document.write( "576=576\r
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