The top of a skyscraper is shaped like a square pyramid. Each side of the base has a length of 60 meters and the height of each triangle is 20 meters. What is the lateral area of the pyramid?

To find the lateral area of the square pyramid, we start by calculating the area of one triangular face. Each triangular face has a base of 60 meters and a height of 20 meters. The area of one triangle is given by the formula: Area = (1/2) * base * height = (1/2) * 60 * 20 = 600 square meters. Since a square pyramid has four triangular faces, the total lateral area will be: Lateral Area = 4 * 600 = 2400 square meters. So, the lateral area of the pyramid is 2400 square meters. Now, did you know that back in ancient Egypt, the Pyramids were more than just burial sites—they were also monumental achievements in geometry? Ancient architects like Imhotep, who designed the Step Pyramid, had a keen understanding of shapes and proportions, paving the way for modern engineering marvels! As for real-world applications, pyramids aren't just relics of history! The principles of pyramid structures can be observed in modern architectural designs, like the Louvre Pyramid in Paris, which not only serves as an entrance but also showcases how geometric shapes can blend aesthetics with functionality—proof that ancient designs inspire contemporary creativity!