An ancient ruler has decided to build a Geometry Temple in the form of a square-base pyramid made up of cubes with a side of $1$ meter (as illustrated below).
The Temple has $100$ layers, where the bottom layer is $100\times 100$ meters and the top layer is a single cube. The surface of the Temple is supposed to be covered with gold.
What is the total area of gold foil that is needed in order to accomplish this?
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