Question

Shenelle has

1
0
0
100 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width
w
w (in meters) is modeled by:
A
(
w
)
=
−
(
w
−
2
5
)
+
6
2
5
A(w)=−(w−25)
2
+625
What side width will produce the maximum garden area?

Answer 1

w = 25

Explanation:

The function A(w) = -(w-25)² +625 is in vertex form. The vertex (maximum) is at (w, A) = (25, 625). A width of 25 meters will maximize the area.