Question

What is the lateral area of a pyramid with base edges 5 ft and surface area 55 ft2?

Answer 1

The answer is 30 ft²

The surface area (SA) of a pyramid is the sum of lateral area (LA) of the pyramid and the area of its base (BA):
SA = LA + BA

The area of the pyramid base (which is a square) with base edge a is:
BA = a²

We have:
SA = 55 ft²
LA = ?
a = 5 ft

LA = SA - BA = SA - a²
LA = 55 - 5²
LA = 55 - 25
LA = 30 ft²

HOPE THIS HELPS;)

Answer 2

Lateral Area = Surface Area - Area of Base.
that'll be 55ft^2 - 25ft^2 = 30ft^2.