document.write( "Question 1193560: A Norman window consists of rectangle surmounted by a semicircle. If the
\n" ); document.write( "perimeter of a Norman window is 20 ft, what should be the radius of the
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Algebra.Com's Answer #825620 by ikleyn(52792) $\"\"$ $\"About$

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\n" ); document.write( "A Norman window consists of rectangle surmounted by a semicircle.
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document.write( "Let x = width and diameter;\r\n" );
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document.write( "    y = height of the rectangle part.\r\n" );
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document.write( "Then the perimeter   \r\n" );
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document.write( "P =   ====>   +  = 20  ====>  y = .\r\n" );
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document.write( "The area A =  +  =  +  = \r\n" );
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document.write( "           =  -  -  +  =  +  - \r\n" );
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document.write( "Then  the condition for the maximum area   = 0  takes the form\r\n" );
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document.write( " = 0,   or    = 10  ====> x =  =  = 5.60 ft.\r\n" );
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document.write( "The maximum area is when the radius of the semicircle is  5.60/2 = 2.80 ft and the height of the rectangular part is \r\n" );
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document.write( "    y =  =  = 2.804 ft.\r\n" );
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