document.write( "Question 1154961: The length of a rectangle is 2 meters more than 4 times the width. If the area is 156 square meters, find the width and the length.\r
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Algebra.Com's Answer #777480 by ikleyn(52944) $\"\"$ $\"About$

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document.write( "With Algebra solution, you quickly come to equation\r\n" );
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document.write( "    x*(4x+2) = 156.\r\n" );
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document.write( "Multiply both sides by 4\r\n" );
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document.write( "    4x*(4x+2) = 624.\r\n" );
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document.write( "Find the decomposition of the number 624 into the product of 2 factors with the difference of 2.\r\n" );
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document.write( "     = 25 (approximately) will help you:  the numbers are  24 and 26.\r\n" );
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document.write( "So, 4x = 24  and x = 24/4 = 6.\r\n" );
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document.write( "ANSWER.  The dimensions are  6 and 4*6+2 = 26.\r\n" );
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document.write( "CHECK.  6*26 = 156.     ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Thus I solved the problem (practically, MENTALLY) without solving quadratic equation.\r
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