Answer:
171 sq units.
Step-by-step explanation:
Since you don't specify you want a the side surface area only, we'll calculate both.
First, the base...
We have a square with a side of 9 units.
Area of the base is then 9 x 9 = 81 sq units.
For the sides, we have 4 triangles with a base of 9 and a height of 5 units.
The area of a triangle is calculated with A = (b * h)/2
So, each of the sides of the pyramid has an area of:
A = (9 * 5) / 2 = 22.5 sq units
There are four sides, so total lateral area: 4 * 22.5 = 90 sq units.
Total area: 81 + 90 = 171 sq units.
