A farmer decides to build a fence to enclose a rectangular field in which he will plant a crop he has 1000 feet of fence to use and his goal is to maximize the area of the field. One side must be 200 feet

Length of the other side will be 300 feet.

Step-by-step explanation:

Given:

Length of the fence he has = 1000 feet.

One side = 200 feet;

we need to find the other side.

Solution:

Let the other side be denoted by 'x'.

Now given that;

Farmer has 1000 feet of fencing used to fence the rectangular field.

So we can say that;

Perimeter of the field = 1000 feet.

Now we know that;

Perimeter is equal to twice the sum of two sides of the rectangle.

framing in equation form we get;

Applying Distributive property we get;

Subtracting both side by 400 we get;

Now Dividing both side by 2 we get;

Hence Length of the other side will be 300 feet.