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The formula for the area of a square is s2 (sides squared)
You need to use an integral. And the formula for an integral will vary depending on the shape of your non square area.
Area in square units = base*height
The formula for cross section area of a square is very easy to use. Measure the length of one side of the square it. If you are doing the cross section area of a rectangle, measure both sides and multiply them together.
The formula for a square pyramid is one square attached to four triangles which meet at a point.There are other formulae for the surface area or for the volume.