Answer: 2770.9 in^2
Explanation:
You need to find the area of each of part of the rug. I would solve it by finding the area of the quadrant and then the area of the two semicircles and add them together.
The Quadrant

The Two Semicircles add up to one total circle so you solve for a full circle.


Then you add the two parts you solved for together
1385.44 + 1385.44 = 2770.88 or 2770.9 in^2