To find the area of a rectangle, we multiply the length and the width.

The given dimensions are:

• Length = $\frac{9}{10} \, \text{cm}$
• Width = $1 \frac{1}{3} \, \text{cm} = \frac{4}{3} \, \text{cm}$

So, the area $A$ is:

$A = \frac{9}{10} \times \frac{4}{3}$

Now, multiply the fractions:

$A = \frac{9 \times 4}{10 \times 3} = \frac{36}{30}$

Simplify the fraction:

$A = \frac{6}{5} = 1.2 \, \text{cm}^2$

Thus, the area of the rectangle is $1.2 \, \text{cm}^2$.

Would you like more details or further explanations on how the area was calculated? Here are some follow-up questions:

1. What is the formula for the area of a rectangle?
2. How do you simplify a fraction?
3. What are the units for the area of a rectangle?
4. How do you multiply fractions?
5. How can you convert mixed numbers to improper fractions?

Tip: Always convert mixed numbers to improper fractions before performing calculations.