Final answer:
To find the surface area of a square pyramid, calculate the lateral area and the area of the base. Add these two areas together to get the total surface area.
Step-by-step explanation:
To find the surface area of a square pyramid, we need to calculate the lateral area and the area of the base. The lateral area can be calculated by multiplying the perimeter of the base by half the slant height. The area of the base is simply the area of a square with side length equal to the width of the base. In this case, the lateral area is (4 * 7 * (7^2 + 3^2)^(1/2))/2 = 98√58, and the area of the base is 7^2 = 49. The total surface area is the sum of the lateral area and the area of the base, so the surface area of the pyramid is 49 + 98√58 square feet.