Porch lucille has a screened porch in the shape of a square prism. the roof is a square pyramid. if the roof is 9 feet by 9 feet and the slant height is 6 feet, find the lateral area of the roof.

The lateral area of the square pyramid is total area excluding the area of the square base. It can be calculated as half of slant height multiplied to the perimeter of the base. From the given above, the perimeter of the base is 9 ft x 4 = 36 ft. Multiplying this to half of 6 ft will give us,
                  Lateral area of the roof = (1/2)(6 ft)(36 ft) = 108 ft²
Thus, the lateral area is equal to 108 ft².