document.write( "Question 172904This question is from textbook precalculus with limits
\n" ); document.write( ": A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. determine the demensions that will produce a maximum enclosed area \n" ); document.write( "
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A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. determine the demensions that will produce a maximum enclosed area
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\n" ); document.write( "Call the divided fence the width, and the other the height.
\n" ); document.write( "To make 3 gardens, there will be 4 pieces of the height.
\n" ); document.write( "Area = w*h
\n" ); document.write( "1500 = 2w + 4h
\n" ); document.write( "750 = w + 2h
\n" ); document.write( "w = 750 - 2h
\n" ); document.write( "Sub for w
\n" ); document.write( "Area = (750 - 2h)*h
\n" ); document.write( "A = 750 h -2h^2
\n" ); document.write( "To find the max, set the 1st deriviate to zero.
\n" ); document.write( "750 - 4h = 0
\n" ); document.write( "h = 187.5 feet
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\n" ); document.write( "w = 750 - 375 = 375
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\n" ); document.write( "I don't know why he needs to separate plants with a fence, they're not gonna attack each other.\r
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