A total of 180 yards of fencing is to be used to enclose part of a lot that borders on a river. This
situation is
shown in the following diagram.
Width (w)
River
Length (1)
a. Write an equation that gives the relationship between the length and width and the 180 yards of
fencing.
b. The formula for the area that is enclosed by the fencing and the river is Alw. Solve the equation
in part a. for l, and then use the result to write the area in terms of w only.
A (w) =
c. What is the largest area that can be enclosed by the 180 yards of fencing?
The largest area that can be enclosed by the 180 yards of fencing is
square yards.