Convert 9m² to cm²: Square Unit Conversion Problem

To solve this problem, we'll follow these steps:

• Step 1: Identify the conversion factor for length. From meters to centimeters, the conversion is $1 m = 100 cm$.
• Step 2: Since area involves square units, square the conversion factor: $(100 cm)^2 = 10000 cm^2$ per square meter.
• Step 3: Multiply the given area in square meters by the conversion factor for square units.

Let's apply these steps:

Step 1: The conversion factor from meters to centimeters is $100$.

Step 2: Square the conversion factor to find the conversion factor for square units: $100^2 = 10000$.

Step 3: Multiply the area in square meters by the conversion factor for square units:

$9m^2 \times 10000 cm^2/m^2 = 90000 cm^2$.

Therefore, the solution to the problem is $90000 cm^2$.