### Video Transcript

Find the surface area of the given square pyramid.

The total surface area of a pyramid is the sum of the areas of all its faces. A square pyramid has five faces: its square base and four congruent triangular faces, known as its lateral faces.

Let’s begin by calculating the area of the base. As this is a square, its area can be found by squaring its side length, which we can see from the diagram is 22 meters. The base area is therefore equal to 484 square meters.

Next, let’s consider the lateral area. From the diagram, we can see that each triangular face has a base of 22 meters and a perpendicular height of 24 meters. The perpendicular height of these triangular faces is also known as the slant height of the pyramid. Using the formula for the area of a triangle, base times perpendicular height over two, the area of each triangular face is 22 times 24 over two. And there are four of them, so the total lateral area is four multiplied by 22 multiplied by 24 over two, which simplifies to 1,056 square meters.

The total surface area of the pyramid is the sum of the areas of the base and the lateral faces, 484 plus 1,056, which is 1,540. The units for this are square meters. So, we found that the surface area of the given square pyramid is 1,540 square meters.