document.write( "Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have? \n" ); document.write( "
Algebra.Com's Answer #840660 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "For enrichment, here is a different approach.\r\n" );
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document.write( "Let the width of the strip be x. \r\n" );
document.write( "The area of the floor is 27x35 = 945, and the area of the rug is 609,\r\n" );
document.write( "So the total area of the strip is 945-609 = 336\r\n" );
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document.write( "As you see from the drawing above, the strip is made up of two\r\n" );
document.write( "vertical 27-x by x thin rectangles and vertical two horizontal\r\n" );
document.write( "rectangles. So we have the equation:\r\n" );
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document.write( "\"2x%2827-x%29\"\"%22%22%2B%22%22\"\"2x%2835-x%29\"\"%22%22=%22%22\"\"336\"\r\n" );
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document.write( "\"54x-2x%5E2%2B70x-2x%5E2\"\"%22%22=%22%22\"\"336\"\r\n" );
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document.write( "\"-4x%5E2%2B124x-336\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Divide through by -4\r\n" );
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document.write( "\"x%5E2-31x-84\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "That's the same quadratic equation the other tutors got, so the\r\n" );
document.write( "rest is the same as theirs.  I'll stop here.\r\n" );
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document.write( "Edwin
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