document.write( "Question 992571: Cynthia Besch wants to buy a rug for a room that is 18 feet wide and 19 feet long. She wants to leave a uniform strip around the rug. She can afford 272 square feet of carpeting. What dimensions should the rug have?\r
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document.write( "272+(19-2x)(18+2x)
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document.write( "1, 35/2\r
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document.write( "But, what are the dimensions in feet? How do I convert? Thanks. \n" );
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Algebra.Com's Answer #612156 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The border will be inside the dimensions of the room, therefore \n" ); document.write( "(19-2x) * (18-2x) = 272 \n" ); document.write( "342 - 74x + 4x^2 = 272 \n" ); document.write( "rearrange the terms \n" ); document.write( "4x^2 - 74x + 342 = 272 \n" ); document.write( "divide both sides of = by 4 \n" ); document.write( "x^2 - 18.5x + 85.5 = 68 \n" ); document.write( "subtract 68 from both sides of = \n" ); document.write( "x^2 - 18.5x + 17.5 = 0 \n" ); document.write( "use quadratic formula to solve for x \n" ); document.write( "x = (-(-18.5) + sqrt((18.5^2)−(4×17.5))) / 2 = 17.5 \n" ); document.write( "x = (-(-18.5) - sqrt((18.5^2)−(4×17.5))) / 2 = 1 \n" ); document.write( "**************************************************************** \n" ); document.write( "The reasonable dimension for the strip around the rug is 1 foot, therefore \n" ); document.write( "the dimensions for the rug are 17 feet long and 16 feet wide \n" ); document.write( " \n" ); document.write( " |