Shenelle has 100100100 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+625A(w)=−(w−25)

2

+625A, left parenthesis, w, right parenthesis, equals, minus, left parenthesis, w, minus, 25, right parenthesis, squared, plus, 625

What side width will produce the maximum garden area?

The maximum area is 625 square meters.

Step-by-step explanation:

We know that the area is determined by

To find the maxium area, we need to calculate the derivative of this function

Then, we make it equal to zero, to find a maxium value

Now, we solve for

But, according to the problem, the perimeter is 100 meters, because the fencing represents a perimeter.

And,

So,

So, the maxium width is 25 meters, the maxium length is 25 meters, and the maxium area is the product of these dimensions

Therefore, the maximum area is 625 square meters.

2xy/9 is the answer to this problem

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.