document.write( "Question 1125332: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.
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Algebra.Com's Answer #741640 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "They want you find the minimum  x+y under condition  xy = 16.\r\n" );
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document.write( "Then y = ;   x + y = .\r\n" );
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document.write( "The function  f(x) =    has the derivative  f'(x) =  -  = .\r\n" );
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document.write( "The derivative is zero when  x^2 - 16 = 0,   or   x^2 = 16,\r\n" );
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document.write( "which implies  x=  = 4.\r\n" );
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document.write( "Then y =  = 4.\r\n" );
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document.write( "Answer.  The square (4 feet x 4 feet) gives the minimal perimeter, which is 16 feet.\r\n" );
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