Answer:
Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]
Explanation:
From figure we can see a square pyramid with base edge 8.2 and slant height 10.3
Points to remember
Total area of square pyramid = Base area + Lateral face area
Lateral face area = 4 * One face area
To find the lateral face area
The face is like a triangle with base 8.2 and slant height = 10.3
Area of triangle = bh/2
Face area = 1/2(8.2) (10.3)
Lateral surface area = 4[1/2(8.2) (10.3)]
To find the base are
Base is a square with base edge = 8.2
Base area = side * side = (8.2)(8.2)
To find the total area of pyramid
Total area = Base area + Lateral face area
Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]
Therefore the correct answer is first option