document.write( "Question 1193307: A rectangular ink pad has a perimeter of 40 centimeters. Its area is 96 square centimeters. What are the dimensions of the ink pad? \n" ); document.write( "

Algebra.Com's Answer #825329 by ikleyn(52802) $\"\"$ $\"About$

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\n" ); document.write( "A rectangular ink pad has a perimeter of 40 centimeters. Its area is 96 square centimeters.
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document.write( "Let x be the length, y be the width.\r\n" );
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document.write( "Then x + y = 40/2 = 20 cm  (half of the perimeter).\r\n" );
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document.write( "So, the width is  y = 20-x cm.\r\n" );
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document.write( "Therefore, the area is xy = x*(20-x) = 96 cm^2.\r\n" );
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document.write( "So,  your area equation to find the length  x  is\r\n" );
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document.write( "    x*(20-x) = 96\r\n" );
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document.write( "    x^2 - 20x + 96 = 0\r\n" );
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document.write( "    (x-12)*(x-8) = 0\r\n" );
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document.write( "The roots are x= 12  and  x= 8.\r\n" );
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document.write( "ANSWER.  The dimensions of the pad are 12 cm  and  8 cm.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle\r
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