Algebra.Com's Answer #834678 by ikleyn(52786)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "an open-topped box is constructed from a rectangular piece of cardboard
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document.write( "that is twice as long as it is wide by removing a square of size 3 inches
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document.write( "from each corner and turning up the edges.
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document.write( "If the box is to hold 5,940 in^3, how big should the original piece of cardboard be?
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document.write( "The area of the base of the box is  = 1980 in^2.\r\n" );
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document.write( "If x and 2x are the dimensions of the cardboard, then the area equation \r\n" );
document.write( "for the base is\r\n" );
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document.write( " (x-6)*(2x-6) = 1980 in^2.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( " 2x^2 - 12x - 6x + 36 = 1980\r\n" );
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document.write( " 2x^2 - 18x - 1944 = 0\r\n" );
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document.write( " x^2 - 9x - 972 = 0\r\n" );
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document.write( "Use the quadratic formula and find the roots to this equation.\r\n" );
document.write( "They are 36 and -27. \r\n" );
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document.write( "Accept positive root and deny negative one.\r\n" );
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document.write( "ANSWER. The dimensions of the cardboard are 36 inches and 72 inches.\r\n" );
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document.write( "Solved.\r
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