A square pyramid has a side length each measuring 8 centimeters

Complete question is;

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?

Answer:

Lateral area = 80 cm²

Step-by-step explanation:

We are given;

Side length; a = 8 cm

Height of pyramid; h = 3 cm

Now, formula for Lateral area of pyramid = ½ * p * L

Where p is perimeter of base and L is slant length.

Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.

L² = (½*side length) ² + h²

L² = (½*8) ² + 3²

L² = 16 + 9

L = √25

L = 5 cm

Now perimeter of square base = 4a = 4 x 8 = 32cm

So,

Lateral area = ½ * p * L = ½ * 32 * 5

Lateral area = 80 cm²