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(52776)\"\" \"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 = \"16%2Fx\";   x + y = \"x+%2B+16%2Fx\".\r\n" );
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document.write( "The function  f(x) = \"x+%2B+16%2Fx\"   has the derivative  f'(x) = \"1\" - \"16%2Fx%5E2\" = \"%28x%5E2+-+16%29%2Fx%5E2\".\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= \"sqrt%2816%29\" = 4.\r\n" );
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document.write( "Then y = \"16%2F4\" = 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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