document.write( "Question 1183630: A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be? \n" ); document.write( "

Algebra.Com's Answer #814046 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up
\n" ); document.write( "booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%,
\n" ); document.write( "and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be?
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document.write( "After adding x to old dimension, the new dimensions are (6+x) ft and (8+x) ft.\r\n" );
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document.write( "The new area is 50% more than the old area, which was 6*8 = 48 ft^2.\r\n" );
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document.write( "So, the new area is 48 + 0.5*48 = 72 ft^2,  giving the equation\r\n" );
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document.write( "    (6+x)*(8+x) = 72.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    48 + 6x + 8x + x^2 = 72\r\n" );
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document.write( "    x^2 + 14x - 24 = 0\r\n" );
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document.write( "It is not factorable, so use the quadratic formula\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "Of the two roots, select only the positive root as the solution to the problem\r\n" );
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document.write( "    x =  = 1.544 ft  (rounded).    ANSWER\r\n" );
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document.write( "ANSWER.  New dimensions are  6+1.544 = 7.544 ft  and  8+1.544 = 9.544 ft.\r\n" );
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document.write( "CHECK.  7.544*9.544 = 71.99994  ft^2.    ! Good ;  Correct !\r\n" );
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