document.write( "Question 165454: This is a math stars question I can't don't know how to tell my son how to get the answer.
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document.write( "Faye has 20 feet of fencing to make a rectangular pen for her dog. what is the largest area that she can fence in? His teacher said answer is 25 square feet-how did she get that answer? \n" );
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Algebra.Com's Answer #121939 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! This is a math stars question I can't don't know how to tell my son how to get the answer. \n" ); document.write( "Faye has 20 feet of fencing to make a rectangular pen for her dog. what is the largest area that she can fence in? His teacher said answer is 25 square feet-how did she get that answer? \n" ); document.write( "------------------------- \n" ); document.write( "L = length \n" ); document.write( "W = width \n" ); document.write( "2L + 2W = 20, L + W = 10, or W = 10 - L \n" ); document.write( "Area = L*W = L*(10-L) \n" ); document.write( "A = 10L - L^2 \n" ); document.write( "For maximum, set the 1st derivative equal to zero. \n" ); document.write( "10 - 2L = 0 \n" ); document.write( "L = 5 (for max area) \n" ); document.write( "W is also 5, so the max area is 25 sq ft.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |