document.write( "Question 1207438: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width,and 3 centimeters in thickness.Due to escalating costs of cocoa,management decides to reduce the volume of the bar by 10%.To accomplish this reduction, management decides that the new bar should have the same 3 centimeter thickness,but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar?\r
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Algebra.Com's Answer #845292 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width,and 3 centimeters in thickness.Due to escalating costs of cocoa,management decides to reduce the volume of the bar by 10%.To accomplish this reduction, management decides that the new bar should have the same 3 centimeter thickness,but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar?\r\n" );
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document.write( "I need help with this one. Too many words and numbers throw me into a loop. \r\n" );
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document.write( "Volume of the OLD bar: Length * Width * Thickness = 12 * 7 * 3 = 252 cc\r\n" );
document.write( "Volume of the NEW bar: (1 - .1)252 = .9(252) = 226.8 cc\r\n" );
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document.write( "Let reduction in length be r. Reduction in width is also r.\r\n" );
document.write( "Thickness of NEW bar: 3\r\n" );
document.write( "Length of NEW bar: Original length, less reduction, or 12 - r \r\n" );
document.write( "Width of NEW bar: Original width, less reduction, or 7 - r \r\n" );
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document.write( "(Length of NEW bar) * (Width of NEW bar) * (Thickness of NEW bar) = (Volume of NEW bar)  \r\n" );
document.write( "      (12 - r)      *       (7 - r)      *         (3)            =        226.8\r\n" );
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document.write( "3(12 - r)(7 - r) = 226.8\r\n" );
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document.write( "Solve using the quadratic equation formula: \"matrix%281%2C3%2C+r%2C+%22=%22%2C+%28-+b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29%29\"\r\n" );
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document.write( "                                            , with: \"matrix%283%2C3%2C+a%2C+%22=%22%2C+1%2C+b%2C+%22=%22%2C+-+19%2C+c%2C+%22=%22%2C+8.4%29\"\r\n" );
document.write( "                                            \r\n" );
document.write( "Reduction in original length and width, or  \r\n" );
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document.write( "                                            OR\r\n" );
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document.write( "Reduction in original length and width, or \r\n" );
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document.write( "Dimensions of NEW bar: Thickness    x    Length    x     Width \r\n" );
document.write( "                                3        x (12 - .453)  x   (7 - .453)\r\n" );
document.write( "                               3      x   11.547  x    6.547 = 226.795 cc (APPROXIMATELY 226.8 cc)
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