A 3-sided enclosure along a river, length 1, width w. A farmer uses 170 m of fencing to build three sides of a coop along a river, using the river as the fourth
side.
A. Set a relationship between the length of the fencing and the dimensions of the coop given in the
figure.
170 -
B. Give the area of the coop as a function of the width only.
A(w)
C. Find the dimensions that maximize the area of the coop, and the area of the coop.
w
m
l=
m
A=
m2