SOLUTION: 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 maxim

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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
:
A = -10w^2 + 120w
Simplify divide by 10
A = -w^2 + 12w
Max area occurs at the axis of symmetry; x = -b/(2a)
In this equation x=w, a=-1 b=12,
w =
w = +6 meter for max area
:
What is the maximum area?
:
Substitute 6 for w in the original equation (you can't use the simplified equation here)
A = -10(6^2) + 120(6)
A = -360 + 720
A = 360 sq/m is the max area
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