IN order to find the area of the shaded region, proceed as follow:
calculate the area of the right triangle:
A = b·h/2
A = (21 yd)(34 yd)/2 = 357 yd²
next, calculate the area of the circle:
A' = π r²
A' = (3.1415)(7 yd)² = 153.93 yd²
next, subtract the area of the circle to the area of the rectangle:
AT = A - A' = 357 yd² - 153.93 yd²
AT = 203.07 yd²
Hence, the area of the shaded region is 203.07 yd²