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To solve the problem of finding the area of the shaded region, let's break it down step by step:

1. **Identify the dimensions of the rectangles:**
   - The larger outer rectangle has dimensions \(10 \times (7 + 3) = 10 \times 10\).
   - The smaller inner rectangle has dimensions \(10 \times 7\).

2. **Calculate the area of each rectangle:**
   - Area of the outer rectangle = \(10 \times 10 = 100\) square units.
   - Area of the inner rectangle = \(10 \times 7 = 70\) square units.

3. **Calculate the area of the shaded region:**
   - The shaded region is the area of the outer rectangle minus the area of the inner rectangle.
   - Shaded area = \(100 - 70 = 30\) square units.

Thus, the area of the shaded region is **30 square units**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you calculate the area of composite shapes?
2. What is the formula for the area of a rectangle?
3. Can you find the area of the shaded region if the dimensions were different?
4. How would the problem change if the smaller rectangle was not centered within the larger one?
5. What are some other methods to find the area of complex shapes?

**Tip:** Always break down complex geometric figures into simpler shapes to calculate areas more easily.

Given the two rectangles below. Find the area of the shaded region.

Learn how to find the area of a shaded region formed by two rectangles. This problem involves calculating the area of the outer and inner rectangles and then subtracting the areas. Suitable for students in Grades 6-8.

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