document.write( "Question 385089: The area of a yard enclosed by a fence is given by the equation A=-10w^2+120w, where \"w\" is the width of the yard in meters and \"A\" is measured in square meters. What is the maximum area? \n" ); document.write( "
Algebra.Com's Answer #272539 by ankor@dixie-net.com(22740)\"\" \"About 
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The area of a yard enclosed by a fence is given by the equation A=-10w^2+120w,
\n" ); document.write( " where \"w\" is the width of the yard in meters and \"A\" is measured in square meters.
\n" ); document.write( ":
\n" ); document.write( "A = -10w^2 + 120w
\n" ); document.write( "Simplify divide by 10
\n" ); document.write( "A = -w^2 + 12w
\n" ); document.write( "Max area occurs at the axis of symmetry; x = -b/(2a)
\n" ); document.write( "In this equation x=w, a=-1 b=12,
\n" ); document.write( "w = \"-12%2F%282%2A-1%29\"
\n" ); document.write( "w = +6 meter for max area
\n" ); document.write( ":
\n" ); document.write( " What is the maximum area?
\n" ); document.write( ":
\n" ); document.write( "Substitute 6 for w in the original equation (you can't use the simplified equation here)
\n" ); document.write( "A = -10(6^2) + 120(6)
\n" ); document.write( "A = -360 + 720
\n" ); document.write( "A = 360 sq/m is the max area \n" ); document.write( "
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