To find the area of the playground, we need to divide it into smaller shapes that we can find the areas of and then add them together. We can divide the playground into a rectangle and a triangle. The rectangle has dimensions 50 yards by 20 yards, so its area is 50 x 20 = 1000 square yards. The triangle has base 35 yards and height 18 yards, so its area is (1/2) x 35 x 18 = 315 square yards. Therefore, the total area of the playground is 1000 + 315 = 1315 square yards.
However, we need to be careful because the units of measurement are not consistent. We have yards and "vd" (which I assume means "varas," a unit of length used in some Spanish-speaking countries). According to my calculations, 50 varas is equivalent to 35.7143 yards, so the dimensions of the playground in yards are approximately 35 x 35.7143 x 20 x 18.1818. Using these dimensions, we get an area of approximately 3585.7143 square yards.
Therefore, the closest answer choice to this result is C: 3,710 square yards.