This region looks like 4 half circles, so if we find the perimeter, we can just find the circumference of 2 normal circles, since that value. would be the same. Using C = 2π r, or C = π d, you can plug the diameter of the circle (4) into the equation:
C = π (4) ≈ 12.57
Then, multiply that by 2, since there is the equivalent of 2 circles' perimeter.
12.57 x 2 = 25.14
The perimeter of the region is about 25.14 feet.
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Now, you can find the area of the inner square, and 2 circles. (remember that radius is half of the diameter!)
A = bh
A= 4 x 4 = 16
A = π r²
A = π 2²
A ≈ 12.57
12.57 + 16 = 28.57
The area of the region is about 28.57 ft²
Hope this helps!