What is the area if the circumference is 32 yd?

You didn't specify what figure you are talking about; the circumference or perimeter is different for different objects of the same size. For example, an elongated ellipse will have less area for the same circumference, as compared to a circle.

Assuming a circle: First get the radius, as 32 / (2 * pi) = 5.0930. Next use the formula area = pi * r squared = pi * 5.0930 squared = 81.487 (square units).