Mark M. answered 04/06/16
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Lateral area is the area of the faces of the pyramid (without the base).
Each face is a triangle with base "s" and a height the same as the slant height - let's call it "h."
The area of each face is (0.5)(s)(h).
For the four faces the lateral area is (4)(0.5)(s)(h), or 2sh.