document.write( "Question 1145660: Find the dimensions of a rectangle whose area is 156 cm2 and whose perimeter is 50 cm. \n" ); document.write( "

Algebra.Com's Answer #766884 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "x + y = 50/2\r\n" );
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document.write( "xy    = 156\r\n" );
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document.write( "x + y = 25\r\n" );
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document.write( "xy    = 156\r\n" );
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document.write( "x = 25 - y\r\n" );
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document.write( "y*(25-y) = 156\r\n" );
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document.write( "y^2 - 25y + 156 = 0\r\n" );
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document.write( " =  =  = .\r\n" );
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document.write( "There are 2 roots,  y= 13  and  y= 12.\r\n" );
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document.write( "ANSWER.  The dimensions of a rectangle are 12 cm and 13 cm.\r\n" );
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