Answer:
A(w) = 180w-w²
Step-by-step explanation:
Farmer Brown has 360 feet of fencing to use to construct a rectangular enclosure for his prized goats.
It means that the perimeter of the rectangle is 360 feet
The formula for the perimeter of a rectangular shape is given by :
P = 2(l+w)
l is length and w is width
ATQ,
2(l+w) = 360
(l+w) =180
l = 180 -w .....(1)
The formula for the area of a rectangle is given by :
A = lw
Put the value of l form equation (1).
A = (180-w)w
A(w) = 180w-w²
Hence, the correct option is (c).
