https://file.aiquickdraw.com/mathbot/file/1726189617302nqo8sp10.jpg

This is an L-shaped figure, and I can help calculate its area by breaking it down into two rectangles. Let's do that step by step:

### Step 1: Break the L-shape into two rectangles.
- **Rectangle 1 (vertical part):** The height is \( 10 \, \text{cm} \) and the width is \( 7 \, \text{cm} \).
- **Rectangle 2 (horizontal part):** The height is \( 5 \, \text{cm} \) and the width is \( 10 \, \text{cm} \).

### Step 2: Calculate the area of both rectangles.
- **Area of Rectangle 1:**
  \[
  \text{Area}_1 = \text{height} \times \text{width} = 10 \, \text{cm} \times 7 \, \text{cm} = 70 \, \text{cm}^2
  \]
  
- **Area of Rectangle 2:**
  \[
  \text{Area}_2 = \text{height} \times \text{width} = 5 \, \text{cm} \times 10 \, \text{cm} = 50 \, \text{cm}^2
  \]

### Step 3: Add the areas.
\[
\text{Total Area} = \text{Area}_1 + \text{Area}_2 = 70 \, \text{cm}^2 + 50 \, \text{cm}^2 = 120 \, \text{cm}^2
\]

Thus, the total area of the L-shaped figure is **120 cm²**.

Would you like more details or have any further questions?

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Here are five relative questions for further practice:
1. How would the area change if the horizontal side were extended by 3 cm?
2. Can you calculate the perimeter of this L-shaped figure?
3. What would happen to the area if both dimensions were doubled?
4. How would you find the area if the shape had curved edges instead of straight ones?
5. Can you determine the centroid (center of mass) of this L-shaped figure?

**Tip:** Always double-check units when working with different dimensions to avoid confusion, especially when converting between units like cm² and m²!

What is the area of an L-shaped figure with dimensions: 10 cm, 7 cm, and 5 cm as shown in the image?

This example shows how to calculate the area of an L-shaped figure by dividing it into two rectangles. We use basic geometry concepts, calculating the areas of each rectangle and then adding them together for a total of 120 cm².

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