What is the greatest rectangular area that the farmer can enclose with 100 m of fencing is m2.

The greatest rectangular area that the farmer can enclose with 100 m of fencing is 625 m²

Step-by-step explanation:

The perimeter of the rectangular field is given as 100 m.

Let us assume x be the length and y be the breadth of the rectangular field, so

Then the area of the rectangular field will be

As we have to find the maximum area for which the perimeter is 100, so we have to maximize the area function.

Putting the value of y,

Taking the derivative on both sides,

Since f"(x) is in negative, so the critical value will yield maximum value of the function.

So,

So for the value of x, f(x) will have maximum value.

Hence,

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !