Multiple Choice: The Mona Lisa, by Leonardo da Vinci, is arguably the most famous painting in existence. The rectangular artwork, which hangs in the Musée du Louvre, measures $77$ cm by $53$ cm. When the museum created a billboard with an enlarged version of the portrait for advertisement, they used a linear scale factor of $20$. What is the area of the billboard?

1. $4081$ cm^{$^2$}

2. $32{,}638{,}000$ cm^{$^2$}

3. $81{,}620$ cm^{$^2$}

4. $1{,}632{,}400$ cm^{$^2$}

5. none of these