You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of meters.

Now, the area of an equilateral triangle with sides a units is given by sq. units.

So, the area of the above equilateral triangle will be = sq. meters. (Answer)

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: