document.write( "Question 723279: \r
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\n" ); document.write( "\n" ); document.write( "The floor of a room is a rectangle.
\n" ); document.write( "It has a perimeter of 22 meters and an area of 24 square meters. \r
\n" ); document.write( "\n" ); document.write( "What are the length and width of the room?
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Algebra.Com's Answer #443099 by checkley79(3341)\"\" \"About 
You can put this solution on YOUR website!
P=2L+2W
\n" ); document.write( "A=LW
\n" ); document.write( "24=LW
\n" ); document.write( "L=24/W
\n" ); document.write( "22=2(24/W)+2W
\n" ); document.write( "22=48/W+2W
\n" ); document.write( "22=(48+2W*W)/W
\n" ); document.write( "22=(48+2W^2)/W CROSS MULTIPLY.
\n" ); document.write( "48+2W^2=22W
\n" ); document.write( "2W^2-22W+48=0
\n" ); document.write( "2(W^2-11W+24)=0
\n" ); document.write( "2(W-3)(W-8)=0
\n" ); document.write( "W-3=0
\n" ); document.write( "W=3 ANS.
\n" ); document.write( "W-8=0
\n" ); document.write( "W=8 ANS.
\n" ); document.write( "L=24/3=8 ANS.
\n" ); document.write( "L=24/8=3 ANS.
\n" ); document.write( "PROOF:
\n" ); document.write( "22=(48/8)+2*8
\n" ); document.write( "22=6+16
\n" ); document.write( "22=22
\n" ); document.write( "22=(48/3+2*3
\n" ); document.write( "22=16+6
\n" ); document.write( "22=22
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