Length
Largest area:
The area of the farm is the amount of space on the farm.
Given
--- the perimeter
Because one side of the farm is a river, the perimeter is calculated as:
So, we have:
Make W the subject
The area of the farm is:
Substitute
Differentiate, and set the result of the differentiation to 0
Solve for L
Divide by 4
Solve for W
Solve for A
Hence,
Read more about areas and perimeters t:
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose the width is W.
Suppose the length is L.
Total fence is given as 300, so
......................(1)
Plugging the value of L from equation (1)
For Area to be maximized, derivative of area should be equal to zero.
Means :
So,
So,
So, Largest area= : Answer
The answer is 5/-2. Hopefully that helped.
the reciprocal is 5/-2