Answer:
532 yd^2
Explanation:
The base of this pyramid is square, and the length of each side is 14 yd.
The equation for the area of a triangle is
A = (1/2) (base) (height), which here is equal to:
A = (1/2) (14 yd (12 yd) = 84 yd^2.
Here there are four such sides, so the total area of the four sides is:
4(84 yd^2) = 336 yd^2.
If we are to calculate and include the surface area of the base, we use the area of a square formula: A = s^2, where s is the length of one side of the square.
Here the area of the base is A = (14 yd)^2 = 196 yd^2.
Adding up the areas of the sides and the area of the base, we get the total surface area
At = 336 yd^2 + 196 yd^2 = 532 yd^2