Which expression represents the total surface area, in square centimeters, of the square pyramid?

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step 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