https://file.aiquickdraw.com/mathbot/file/172624061763109861cep.jpg

Let's break down this problem step by step.

### Step 1: Understanding the Problem
- Each shaded square has an area of \( 9 \, \text{cm}^2 \).
- We need to calculate the area of the unshaded portion of the rectangle.
- First, we need to find the total area of the rectangle, and then subtract the area of the shaded squares.

### Step 2: Counting Shaded Squares
Looking at the image, we can count the number of shaded squares. There are **12 shaded squares**.

### Step 3: Area of Shaded Squares
Each shaded square has an area of \( 9 \, \text{cm}^2 \), and since there are 12 shaded squares, the total shaded area is:
\[
\text{Shaded Area} = 12 \times 9 = 108 \, \text{cm}^2
\]

### Step 4: Total Area of the Rectangle
The rectangle consists of a grid of squares. We can count the total number of squares (both shaded and unshaded). By counting the squares in the grid, there are \( 6 \times 5 = 30 \) squares in total.

Since each square has an area of \( 9 \, \text{cm}^2 \), the total area of the rectangle is:
\[
\text{Total Area} = 30 \times 9 = 270 \, \text{cm}^2
\]

### Step 5: Area of Unshaded Region
To find the unshaded area, we subtract the shaded area from the total area of the rectangle:
\[
\text{Unshaded Area} = \text{Total Area} - \text{Shaded Area} = 270 - 108 = 162 \, \text{cm}^2
\]

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

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Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How would the solution change if each square had an area of 16 cm²?
2. What is the perimeter of the entire rectangle?
3. If the rectangle were divided into triangles instead of squares, how would you approach the problem?
4. What if only half of each shaded square were considered shaded?
5. How could this problem change if the number of rows and columns increased?

**Tip:** When working with composite areas, breaking down complex shapes into smaller, easily measurable units (like squares) helps simplify calculations.

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 by calculating the unshaded area of a rectangle with small shaded squares, each with an area of 9 cm². Learn to count squares and apply area formulas, suitable for students in Grade 6-8.

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