Shenelle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the gard
en's width www (in meters) is modeled by: a(w)=-(w-25)^2+625. What is the maximum area possible?
2 answers:
Answer:
625
Step-by-step explanation:
Check the question to make sure you have the right question
It's not 25
Answer:
625 metres
Step-by-step explanation:
Given the area function expressed as a(w)=-(w-25)^2+625.
The maximum area occurs at when da/dw = 0
da/dw = -2(w-25)
0 = -2(w-25)
-2(w-25) = 0
w - 25 = 0
w = 25
Substitute w = 25 into the modeled equation;
Recall a(w)=-(w-25)^2+625.
a(25)=-(25-25)^2+625
a(25) = 0+625
a(25) = 625
Hence the maximum area possible is 625 metres
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