document.write( "Question 152282: A rug placed in a 10 ft x 12 ft room covers two-thirds of the floor area and leaves a uniform strip of bare floor around teh edges. Find the dimensions of the rug.
\n" ); document.write( "I dont need the answer, just the step-by-step process. \n" ); document.write( "
Algebra.Com's Answer #111948 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
The important thing is to draw a diagram. Label all the information provided.
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\n" ); document.write( "Let x = width of strip between the edge of the rug and wall
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\n" ); document.write( "The room is 10 by 12 feet.
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\n" ); document.write( "Therefore the rug must be:
\n" ); document.write( "(10-x) by (12-x)
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\n" ); document.write( "The area of the rug is equals to 2/3 of the room:
\n" ); document.write( "(10-x)(12-x) = 2/3(10*12)
\n" ); document.write( "(10-x)(12-x) = 2/3(120)
\n" ); document.write( "(10-x)(12-x) = 2(40)
\n" ); document.write( "(10-x)(12-x) = 80
\n" ); document.write( "120-10x-12x+x^2 = 80
\n" ); document.write( "120-22x+x^2 = 80
\n" ); document.write( "x^2-22x+120 = 80
\n" ); document.write( "x^2-22x+40 = 0
\n" ); document.write( "(x-20)(x-2) = 0
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\n" ); document.write( "x = {2,20}
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\n" ); document.write( "Therefore the rug is:
\n" ); document.write( "10 feet by 8 feet \n" ); document.write( "
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