Answer: 2770.9 in^2
Step-by-step 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
[tex]\frac{1}{4} *42^{2} *\pi = 1385.44[/tex]
The Two Semicircles add up to one total circle so you solve for a full circle.
[tex]d=2r \\ 42=2r\\ r=21\\ 21^{2} * \pi[/tex][tex]about 1385.44[/tex]
Then you add the two parts you solved for together
1385.44 + 1385.44 = 2770.88 or 2770.9 in^2
