Answer:
(a)
(b)
(c) Maximum area square meters
Step-by-step explanation:
(a)
Given:
Total length for fencing = 160 m
Width of the rectangle = m.
Let the other length of the rectangle be m.
Then, from the figure,
Now, area of a rectangle is equal to the product of its length and width.
So, area is,
(b)
Given:
For maximum area, derivative of area with respect to must be 0.
So,
Therefore, for maximum area, .
(c)
Given:
Maximum area occurs at . Plug in 40 for
in
expression. This gives,
Maximum area is,
Therefore, maximum area is 3200 square meters.