Millie's office has an area of $9.1 m^2$. Tyler's office is $6200 cm^2$ larger than Millie's office. What is the area of Tyler's office in $m^2$?

1. Problem Description

Millie's office has an area of $9.1 m^2$. Tyler's office is $6200 cm^2$ larger than Millie's office. What is the area of Tyler's office in $m^2$?

2. Solution Steps

First, we need to convert $6200 cm^2$ to $m^2$.

We know that $1 m = 100 cm$.

Therefore, $1 m^2 = (100 cm)^2 = 10000 cm^2$.

So, to convert $cm^2$ to $m^2$, we divide by $10000$.

$6200 cm^2 = \frac{6200}{10000} m^2 = 0.62 m^2$

Now, we can find the area of Tyler's office by adding the difference in area to Millie's office area.

Tyler's office area = Millie's office area + difference

Tyler's office area $= 9.1 m^2 + 0.62 m^2$

Tyler's office area $= 9.72 m^2$

3. Final Answer

$9.72$