Answer: We have to find the area of the provided polygon (square) with the given apothem, it can be visualized as follows:
Therefore the total area of the given square would be as follows:
[tex]\begin{gathered} A_{(square)}=S^2 \\ \\ \\ S=2x=2\times10cm=20cm \\ \\ \therefore\rightarrow \\ \\ A_{(square)}=(2x)^2=(20cm)^2 \\ \\ \\ A_{(square)}=400cm^2 \\ \end{gathered}[/tex]
Therefore the answer is, that the area is 400 square centimeters.
