Answer:

Step-by-step explanation:
Assuming that the patio is a rectangle, we have

Where
is the length and
is the width.
Now let's assume that the length of the patio is double than the width.

So, the equation that represents this problem is

The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
A and B are correct because 96/100 is equivalent to 0.96, which is also 96%.