Answer:
1090sqr.inches
Explanation:
The area of the arched-interior can be calculated by adding the value of the area of the semi circle to that of the rectangle.
The semi-circle has a diameter of 24 inches while the rectangle has a length of 36 inches.
The area of the semi circle is simply: πr^2/2
Since r = d/2, r here is 24/2 = 12
Area of semicircle is thus 22/7 * 12 * 12 * 1/2 = 226.2sqr.inches
The rectangle measures 24 inches by 36 inches. The area here is 24 * 36 = 864 sqr.inches
The total area is thus; 864 + 226.2 = 1090 sqr.inches