Use the image to answer the question.
An illustration shows a pyramid with a square base. The side of the base is labeled 15 feet. The perpendicular height denoted by a right angle symbol on the lateral face from the apex to the base is labeled 9.9 feet.
Solve for the surface area of the square pyramid.
(1 point)
Responses
522 ft.2
522 ft. squared
819 ft.2
819 ft. squared
148.5 ft.2
148.5 ft. squared
299.25 ft.2
299.25 ft. squared
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The surface area of a square pyramid can be found using the formula:
Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height
The base area of a square pyramid is the area of the square base, which is 15 feet * 15 feet = 225 square feet.
The perimeter of the base is the sum of the four sides of the square base, which is 4 * 15 feet = 60 feet.
The slant height is the distance from the apex to the base along the lateral face, which is 9.9 feet.
Therefore, the surface area is:
Surface Area = 225 + (1/2) * 60 * 9.9
Surface Area = 225 + 297
Surface Area = 522 square feet
Therefore, the surface area of the square pyramid is 522 ft².