Answer:
596 ft²
Explanation:
You want the total surface area of a rectangular pyramid with base sides 12 ft and 16 ft, and slant heights of 15 ft and 14 ft.
Base area
The area of the base is the product of its dimensions:
A = LW
A = (12 ft)(16 ft) = 192 ft²
Lateral area
The lateral area is the sum of the triangle areas. The area of each triangle is half the product of its base and slant height.
A = ∑(1/2bh)
A = 2(1/2)(12 ft)(15 ft) +2(1/2)(16 ft)(14 ft)
A = 180 ft² +224 ft² = 404 ft²
Total area
The total surface area is the sum of the base area and the lateral area:
total area = 192 ft² +404 ft² = 596 ft²
The total surface area of the rectangular pyramid is 596 ft².
<95141404393>