Use the image to answer the question.
An illustration shows a net diagram. The center of the diagram is a square with dashed lines marking its sides. Each side forms the base of one of four triangles extending outward from the square. The sides of the square measure 40 feet, and the perpendicular height of the triangular face above the square measures 20 feet.
Solar Innovations makes a skylight in the shape of a square pyramid. The pyramid is represented with a net. How many square feet of acrylic are needed to make a skylight covering the lateral surface area?
(1 point)
ft.2
The lateral surface area of a square pyramid is the area of the four triangular faces. In this case, we know that each of the triangular faces has a base of 40 feet and a perpendicular height of 20 feet.
Therefore, the area of one triangular face is 1/2 * base * height = 1/2 * 40 * 20 = 400 square feet.
Since there are four triangular faces, the total lateral surface area of the skylight is 4 * 400 = 1600 square feet.
So, 1600 square feet of acrylic are needed to make the skylight covering the lateral surface area.