Question

Find the Lateral area of a square pyramid with a slant height of 22m and a base length of 8m

Answer 1

Answer: 352 $m^{2}$

Step-by-step explanation:

To find the Lateral area of a square pyramid , we will follow the three steps below:

1. Find the perimeter of the base

2. Multiply the perimeter by the slant height

3. Divide the result above by 2

That is :

The lateral surface area of a regular pyramid is lateral area = perimeter of base x slant height of pyramid) ÷ 2.

Applying the formula above:

1. The base is a square , therefore the perimeter of a square is 4L , That is

Perimeter = 4(8)

Perimeter = 32m

2. Perimeter x slant height  , that is

32 x 22 = 704m

3. Dividing the result by 2 , we have :

704/2 = 352

Therefore , the Lateral area of the pyramid is 352 $m^{2}$