Answer:
c. SA = 596 ft²
Explanation:
Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces
Base area = length × width
Length = 16 ft
Width = 12 ft
Base area = 16 × 12 = 192 ft²
Area of the 2 lateral faces with the following dimension:
base = 12 ft
height = 15 ft
Area = 2(½bh) = 2(½*12*15) = 180 ft²
Area of the 2 lateral faces with the following dimensions:
base = 16 ft
height = 14 ft
Area = 2(½*14*16) = 224 ft²
✅Total surface area = 192 + 180 + 224 = 596 ft²