Plugging 10 for k in the expression gives us

We simplify this expression to
251 is your answer
Answer:
6050 square feet
Step-by-step explanation:
Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet


Area of a rectangle is determined by multiplying the length of perpendicular sides:



The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.
A simple variable can be differentiated using below concept:


Using the above concepts to differentiate Area and calculate X will give:



Calculating Y:



Calculating Area:



Numerical methods; Rearrange your equation; Find the negative root of fact equation. Then you have your answer.