document.write( "Question 1154852: Bobby just received an award for employee of the year and wants to frame the plaque in b) such a way as it creates a border of uniform width around the rectangular plaque. He only has enough material to create a total of 16 square inches in area for the border. If the plaque is 6 inches by 9 inches, how wide should the border be? \n" ); document.write( "
Algebra.Com's Answer #853798 by ikleyn(53742)\"\" \"About 
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\n" ); document.write( "Bobby just received an award for employee of the year and wants to frame the plaque in b) such a way as it creates
\n" ); document.write( "a border of uniform width around the rectangular plaque. He only has enough material to create a total of 16 square
\n" ); document.write( "inches in area for the border. If the plaque is 6 inches by 9 inches, how wide should the border be?
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is incomplete/unreadable.\r
\n" ); document.write( "\n" ); document.write( "        Strictly saying, an explanation absents in the @mananth's post.\r
\n" ); document.write( "\n" ); document.write( "        See below my complete solution.\r
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document.write( "Let 'x' be the uniform width of the frame.\r\n" );
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document.write( "Write an equation for the frame area\r\n" );
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document.write( "    (6+2x)*(9+2x) - 6*9 = 16\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    54 + 18x + 12x + 4x^2 - 54 = 16,\r\n" );
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document.write( "    4x^2 + 30x - 16 = 0\r\n" );
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document.write( "    2x^2 + 15x - 8 = 0\r\n" );
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document.write( "Solve using the quadratic formula:  x = 1/2 or -8.\r\n" );
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document.write( "Use the positive value.\r\n" );
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document.write( "ANSWER.  The uniform width of the frame is 1/2 of an inch.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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