https://file.aiquickdraw.com/mathbot/file/17258587645989dwvxkc5.jpg

The image shows a figure consisting of a semicircle and a rectangle with a triangle cut out of it. We are tasked with finding the area of the figure, using \( \pi = 3.14 \).

### Given measurements:
- Length of the rectangle: \( 30 \, \text{m} \)
- Width of the rectangle: \( 12 \, \text{m} \)
- The semicircle is on the left, with a diameter equal to the width of the rectangle: \( 12 \, \text{m} \)
- The triangle is right-angled, with the base of \( 10 \, \text{m} \) and the height matching the width of the rectangle (\( 12 \, \text{m} \)).

### Steps to solve:
1. **Area of the rectangle**:
   \[
   \text{Area of the rectangle} = \text{Length} \times \text{Width} = 30 \, \text{m} \times 12 \, \text{m} = 360 \, \text{m}^2
   \]

2. **Area of the semicircle**:
   The diameter of the semicircle is \( 12 \, \text{m} \), so the radius is \( 6 \, \text{m} \).
   \[
   \text{Area of the semicircle} = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 6^2 = \frac{1}{2} \times 3.14 \times 36 = 56.52 \, \text{m}^2
   \]

3. **Area of the triangle**:
   The triangle is right-angled with base \( 10 \, \text{m} \) and height \( 12 \, \text{m} \).
   \[
   \text{Area of the triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 10 \, \text{m} \times 12 \, \text{m} = 60 \, \text{m}^2
   \]

4. **Total area of the figure**:
   \[
   \text{Total area} = \text{Area of the rectangle} + \text{Area of the semicircle} - \text{Area of the triangle}
   \]
   \[
   \text{Total area} = 360 \, \text{m}^2 + 56.52 \, \text{m}^2 - 60 \, \text{m}^2 = 356.52 \, \text{m}^2
   \]

### Final Answer:
The area of the figure is \( 356.52 \, \text{m}^2 \).

Do you need further details or have any questions?

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Here are 5 related questions to expand on this:

1. How do we calculate the circumference of a semicircle?
2. What is the perimeter of the entire figure if we include the triangle's cut-out?
3. How would the calculation change if the triangle were not right-angled?
4. What formula is used to find the area of a full circle?
5. How can we derive the formula for the area of a right-angled triangle?

**Tip:** In geometry, breaking complex shapes into simpler ones like rectangles, triangles, and circles often simplifies area calculations.

The figure shows a semicircle and a rectangle from which a triangle has been cut. Find the area of the figure. (Use 3.14 for π)

Find the area of a figure that consists of a semicircle and rectangle, with a right-angled triangle cut out. This geometry problem is perfect for students in Grades 7-10, covering area formulas for composite shapes.

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