https://file.aiquickdraw.com/mathbot/file/17273832249066kqburjt.jpg

To find the area of the shaded region, we need to calculate the difference between the area of the larger square and the area of the smaller square inside it.

### Step 1: Calculate the area of the larger square
The side length of the larger square is given as 36.1 cm.
\[
\text{Area of the larger square} = \text{side}^2 = 36.1^2 = 1303.21 \, \text{cm}^2
\]

### Step 2: Calculate the area of the smaller square
The side length of the smaller square is given as 26.8 cm.
\[
\text{Area of the smaller square} = \text{side}^2 = 26.8^2 = 718.24 \, \text{cm}^2
\]

### Step 3: Calculate the area of the shaded region
The area of the shaded region is the difference between the area of the larger square and the smaller square:
\[
\text{Area of the shaded region} = 1303.21 \, \text{cm}^2 - 718.24 \, \text{cm}^2 = 584.97 \, \text{cm}^2
\]

Thus, the area of the shaded region is approximately **584.97 square centimeters**.

Do you need further details or have any questions?

### Related Questions:
1. What is the perimeter of the shaded region?
2. How would the shaded area change if the side lengths of the squares were both increased by 10%?
3. What would be the shaded area if the smaller square's side was halved?
4. How does the ratio of the areas of the two squares compare to the ratio of their side lengths?
5. What is the percentage of the shaded region compared to the larger square?

### Tip:
Always double-check your calculations, especially with exponents and squares, to ensure accuracy.

Learn how to calculate the area of the shaded region between two squares with side lengths 36.1 cm and 26.8 cm. This step-by-step guide covers key geometric concepts and is suitable for Grade 8 students.

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