116.2ft^2
First, you would want to find the area of the total shape counting the shaded region, given we know that the shaded region is 1 ft, we can add 18 to 1 to get 19, using the area of the circle formula,
πr^2
We can conclude,
π19^2
361π
Or, given they want us to round, multiply the 361 by 3.14…
You should have gotten, 1,133.54,
Next, do the same for the inside circle…
π18^2
324π
If we use the same principle of rounding as last time, we end up with, 1,017.36
Now, to get the shaded area, we simply subtract the total area from the non-shaded section…
Or,
1,133.54-1,017.36
Which is,
116.18
Or, given since they wanted us to round to the nearest tenth, it would then be…
116.2ft^2
I hope this helps