sat-dog

Choice B is correct. Since $1$ mile is equal to $\mathrm{1,760}$ yards, $1$ square mile is equal to ${\mathrm{1,760}}^2$, or $\mathrm{3,097,600}$, square yards. It’s given that the park has an area of $\mathrm{11,863,808}$ square yards. Therefore, the park has an area of $\left(\mathrm{11,863,808} \text{square} \text{yards}\right)\left(\frac{1 \text{square} \text{mile}}{\mathrm{3,097,600} \text{square} \text{yards}}\right)$, or $\frac{\mathrm{11,863,808}}{\mathrm{3,097,600}}$ square miles. Thus, the area, in square miles, of the park is $3.83$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the square root of the area of the park in square yards, not the area of the park in square miles.

Choice D is incorrect and may result from converting $\mathrm{11,863,808}$ yards to miles, rather than converting $\mathrm{11,863,808}$ square yards to square miles.