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)
To find the lateral surface area of the square pyramid, we need to find the area of each triangular face and then add them up.
Since we have four identical triangles, we can calculate the area of one triangle and then multiply by 4.
The formula for the area of a triangle is 0.5 * base * height.
In this case, the base of the triangle is 40 feet and the height is 20 feet. So, the area of one triangle is 0.5 * 40 * 20 = 400 square feet.
Since there are four triangles, the total lateral surface area of the square pyramid skylight is 4 * 400 = 1600 square feet.
Therefore, 1600 square feet of acrylic are needed to make a skylight covering the lateral surface area.