document.write( "Question 1185996: The length of a rectangle is 5 cm more than 3 times its width. The area of the rectangle is 1428 square cm. Find the length and width of the rectangle.\r
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Algebra.Com's Answer #816862 by ikleyn(52786)\"\" \"About 
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document.write( "width = x\r\n" );
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document.write( "length = 3x + 5\r\n" );
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document.write( "Area equation\r\n" );
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document.write( "    x*(3x + 5) = 1428.\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    3x^2 + 5x - 1428 = 0\r\n" );
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document.write( "    \"x%5B1%2C2%5D\" = \"%28-5+%2B-+sqrt%28%28-5%29%5E2+%2B+4%2A3%2A1428%29%29%2F%282%2A3%29\" = \"%28-5+%2B-+131%29%2F6\".\r\n" );
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document.write( "Use the positive root, only:  x = \"%28-5+%2B+131%29%2F6\" = 21.\r\n" );
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document.write( "ANSWER.  The width is 21 cm;  The length is 3*21+5 = 68 cm.\r\n" );
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document.write( "CHECK.  21*68 = 1428 cm^2.    ! Correct !\r\n" );
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