We can split the question into two parts: the square (5 in by 5 in) and the quadrant, which can be multiplied by two (it can also be interpreted as a semi circle by putting them together).
So 5 x 5 is the square, which is 25 inches squared.
To find the area of a semicircle, it is the area of a circle A = pi r^2 divided by 2.
The radius is 5 inches, so A = pi x 25 divided by 2. 3.14 x 25 is 78.5, divided by two is 39.25 inches squared.
39.3 + 25 = 64.3 in squared, D
Hope I helped!