Correct Answer - Option 4 : 0.25x
2
Concept:
For square pyramid
Lateral surface area of the pyramid = 4 × area of one of the triangles of the pyramid.
perimeter of a square = 4 × Side of a square
Calculation:
Given,
Square pyramid has a base perimeter = X
perimeter of a square = 4 × Side of a square
∴ Side of the square base = X/4
The slant height = half of the perimeter.= X/2
we know that
Perpendicular height of the triangles = Slant height of the pyramid = X/2
Base of the triangle = Side of the square base = X/4
Lateral surface area of the pyramid = 4 × area of one of the triangles of the pyramid.
Lateral surface area of the pyramid = 4 × ½ × base × height
Lateral surface area of the pyramid = 2 × (x/4) × (x/2) = 0.25x2