Answer:
Step-by-step explanation:
Perimeter of square = 182.8 ft
Perimeter of semicircle = 62.8 ft
Let teh side of the square is a and the radius of semi circle is r.
Perimeter of square = 4a
4a = 182.8
a = 45.7 ft
perimeter of semicircle = π r
π r = 62.8
r = 20 ft
Area of square part = a² = 45.7 x 45.7 = 2088.5 ft²
Area of semicircle = πr²/2 = 3.14 x 20 x 20 /2 = 628 ft²
Total area of the play court = 2088.5 + 628 = 2716.5 ft²