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 #121940 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! the largest area enclosed by a rectangle is actually a square \n" ); document.write( "__ a square with a perimeter of 20ft has four 5ft sides \n" ); document.write( "__ so the area is 25sqft\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to get technical __ the perimeter is 20ft, so L+W=10 (half the perimeter) __ L=10-W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area is L times W __ A=L*W __ substituting A=(10-W)*W __ A=10W-W^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A=-W^2+10W is a downward opening parabola __ the maximum value for A occurs at the axis of symmetry\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation for the axis of symmetry is W=-(10)/(2*(-1)) __ W=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting __ L+(5)=10 __ L=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A=L*W __ A=5*5 __ A=25 \n" ); document.write( " |