Answer: 89.25 sq. ft
Explanation:
(If we say that the pi is 3.14)
The area of the semicircle: The area of the semi circle is the same as dividing a circle created by adding the same semicircle to the original one by 2, which makes us find out the area of the "imaginary" circle. The "imaginary" circle's area can be found out by using the equation "radius x radius x pi = area of circle". The diameter of the "imaginary" circle is the same as the horizontal lines of the rectangle, therefore, the diameter is 10 ft, and the radius can be found by dividing 10 by 2 (radius = diameter divided by 2), which is 5 (ft). So, the "imaginary" circle's area is 5 x 5 x 3.14(pi) = 78.5(sq. ft), and the semicircle's area would be the half of the circle's area, therefore the semicircle's area is 78.5/2 = 39.25(sq. ft)
The area of the rectangle: The area of the rectangle can be found by multiplying the lengths of the horizontal line and the vertical line of the rectangle. The are of the rectangle is 10 x 5 = 50(sq. ft)
The area of the figure is the sum of the semicircle and the rectangle. 39.25 + 50 = 89.25 (sq. ft)
Hope this helps ;)