A building in san fransico is shaped like a square pyramid. It has a slant height of 856.1 feet and each side of its base is 145 feet long. Find the lateral area of the building.

A=l√[ (w/2) ²+h²+w]+w√[ (l/2) ²+h²]

where

l is base length

w base width

h is height

given that the slant side of our pyramid is 856.1 ft with square base of 145 ft, the height of the pyramid will be found by Pythagorean theorem.

c²=a²+b²

hence:

856.1²=a²+72.5²

a=853.025 ft

The Lateral area is therefore going to be:

A=145√[ (145/2) ²+856.025²+145]+145√[ (145/2) ²+856.025²]

A=249,136.0025 ft²