https://file.aiquickdraw.com/mathbot/file/1726240325579jj5rks80.jpg

Let's solve this step by step.

### Step 1: Count the shaded squares
We can see from the image that there are 12 shaded squares.

### Step 2: Calculate the total area of the shaded squares
Each of the shaded squares has an area of 9 cm². So, the total area of the shaded squares is:

\[
12 \text{ squares} \times 9 \text{ cm}^2/\text{square} = 108 \text{ cm}^2
\]

### Step 3: Total area of the rectangle
From the image, it seems the rectangle has 6 columns and 5 rows of squares, making the total number of squares (shaded and unshaded) 30.

Now, if each square has an area of 9 cm², the total area of the rectangle is:

\[
30 \text{ squares} \times 9 \text{ cm}^2/\text{square} = 270 \text{ cm}^2
\]

### Step 4: Calculate the area of the unshaded portion
The unshaded area is the total area of the rectangle minus the area of the shaded squares:

\[
270 \text{ cm}^2 - 108 \text{ cm}^2 = 162 \text{ cm}^2
\]

Thus, the unshaded area of the rectangle is **162 cm²**.

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Would you like more details on any of the steps, or have any questions? Here are some related questions to consider:

1. How would the total area change if the shaded squares had different areas?
2. What is the perimeter of the entire rectangle if the side length of each small square is known?
3. How could we calculate the unshaded area if the arrangement of shaded squares was irregular?
4. How would the solution change if the shape was not rectangular?
5. How do you calculate the side length of each square based on its area?

**Tip:** When dealing with geometric figures, it's helpful to count or calculate both the individual areas and the total areas step by step.

Each of the small shaded squares inside the rectangle below has an area of 9 cm². What area of the rectangle is unshaded? Give your answer in cm².

Solve a geometry problem where the total area of a rectangle contains multiple shaded squares, each with an area of 9 cm². Follow a step-by-step guide to calculate the total and unshaded areas using fundamental geometric formulas. Suitable for Grades 6-8.

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