Answer:
[tex] 379.69 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region = Area of the square with side 25 ft - Area of the semicircle with radius (25/2) = 12.5 ft.
[tex] = {(25)}^{2} - \frac{1}{2} \times \pi \times {(12.5)}^{2} \\ \\ = 625 - \frac{1}{2} \times 3.14 \times 156.25 \\ \\ = 625 - 245.3125 \\ \\ = 379.6875 \: {ft}^{2} \\ \\ = 379.69 \: {ft}^{2} [/tex]
