Shenelle has 100 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width www (in meters) is modeled by: a(w)=-(w-25)^2+625. what is the maximum area possible?

Alright, lets get started.

The graden's area is given as :

For maximization of area, a'(w) should be equal to zero.

Simplifying :

w = 25 meters

Fencing is given 100 meters that means that will equal to its perimeter,so

Plugging w as 25

Dividing 2 in both sides

Means for maximum area of rectange, l should be 25 and w should be 25 too.

So, area (maximum) =

Area(maximum) = 625 square meters    :    Answer

Hope it will help :)

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  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.