Tina's office has an area of $8.2 m^2$. Bill's office is $7100 cm^2$ larger than Tina's office. What is the area of Bill's office in $m^2$?

1. Problem Description

Tina's office has an area of $8.2 m^2$. Bill's office is $7100 cm^2$ larger than Tina's office. What is the area of Bill's office in $m^2$?

2. Solution Steps

First, we need to convert the area of Bill's office from $cm^2$ to $m^2$.

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

So, to convert $7100 cm^2$ to $m^2$, we divide by $10000$:

$7100 cm^2 = \frac{7100}{10000} m^2 = 0.71 m^2$.

Now, we add the area of Tina's office to the additional area to find the area of Bill's office in $m^2$:

Area of Bill's office = Area of Tina's office + Additional area

Area of Bill's office = $8.2 m^2 + 0.71 m^2 = 8.91 m^2$.

3. Final Answer

$8.91$