Arectangular corral is enclosed using 120 m of fencing. the corral uses the side of a barn as one of its sides, so fencing is required on three sides of the rectangular region. what dimensions would maximize the area enclosed by the fence?

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a