document.write( "Question 1179810: My garden measures 91 square feet. The length of the garden is one foot less than twice its width.
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Algebra.Com's Answer #809393 by ikleyn(52906) $\"\"$ $\"About$

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document.write( "x = the width\r\n" );
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document.write( "2x-1 = the length.\r\n" );
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document.write( "The area equation\r\n" );
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document.write( "    x*(2x-1) = 91.     (1)\r\n" );
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document.write( "Multiply it by 2\r\n" );
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document.write( "    2x*(2x-1) = 182.\r\n" );
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document.write( "     +-----------------------------------------------------------+\r\n" );
document.write( "     |   Now ask yourself: which two consecutive integer numbers | \r\n" );
document.write( "     |            give 182 when multiplied ?                     |\r\n" );
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document.write( "Think 3-4-5 seconds and guess the answer MENTALLY :  the numbers are 13 and 14.\r\n" );
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document.write( "CHECK:  13*14 = 182.      ! Correct !\r\n" );
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document.write( "So,  2x = 14 and x = 7.\r\n" );
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document.write( "The width is 7 cm.  The length is  13 cm.\r\n" );
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document.write( "Alternatively, you can solve equation (1) formally as a quadratic equation.\r\n" );
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document.write( "You will get the same answer.\r\n" );
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