The answer depends on the height of what? The method required for a person, a building, a mountain peak, a cloud would be different.
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Why do you need to FIND the slant height if you have the [lateral height and] slant height?
we can find the height of a rectangular pyramids located at the top of the base
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
A trapezoid is a polygon. Therefore, a trapezoid has no height
Divide the area by the height