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The image shows a problem asking to find the area of the shaded region inside a square. The square **ABCD** has a side length of **10 cm**, and two quarter circles are drawn with centers at **A** and **B**, passing through **D** and **C**, respectively. The region inside the square but outside the quarter circles is shaded.

### Steps to solve the problem:

1. **Calculate the area of the square**:
   The side of the square is given as 10 cm, so the area of the square is:
   \[
   \text{Area of square} = 10^2 = 100 \, \text{cm}^2
   \]

2. **Calculate the area of each quarter circle**:
   The radius of both quarter circles is equal to the side of the square, which is 10 cm.
   The area of a full circle with radius \( r \) is \( \pi r^2 \), so the area of a quarter circle is:
   \[
   \text{Area of one quarter circle} = \frac{\pi \times 10^2}{4} = 25\pi \, \text{cm}^2
   \]

3. **Find the area of the green shaded region**:
   The shaded region is the part of the square outside the two quarter circles. Since the arcs intersect to form a smaller square in the center, we must subtract the area of the quarter circles from the total area of the square:
   \[
   \text{Shaded area} = \text{Area of square} - 2 \times \text{Area of quarter circle}
   \]
   \[
   \text{Shaded area} = 100 - 2 \times 25\pi
   \]
   Using \( \pi \approx 3.14 \):
   \[
   \text{Shaded area} \approx 100 - 2 \times 78.5 = 100 - 157 = 36 \, \text{cm}^2
   \]

Therefore, the area of the shaded region is **36 cm²**.

### Final Answer:
The correct option is **(b) 36 cm²**.

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Do you have any questions, or would you like more details on any part of the solution?

### Related Questions:
1. What is the perimeter of the square if the side length is 10 cm?
2. How would the shaded area change if the square had a different side length?
3. How do you calculate the area of a sector of a circle?
4. What is the total area covered by the two quarter circles?
5. How do you derive the formula for the area of a quarter circle?

### Tip:
When dealing with geometric shapes involving circles and squares, always focus on understanding the relationships between areas and arcs, as this will make complex problems more manageable.

ABCD is a square of side 10cm. Find the area of the shaded region.

Learn how to find the area of the shaded region inside a square with side 10cm and two quarter circles drawn from opposite corners. This problem covers key geometric concepts such as area calculation of squares and circles, suitable for Grades 8-10.

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