https://file.aiquickdraw.com/mathbot/file/17262621596087j1r7zjj.jpg

The figure in the image is an L-shaped polygon, and we can find the area by breaking it into two rectangles. Here's how we can do it:

### Step 1: Divide the figure into two rectangles.
- **Rectangle 1:** The top horizontal part of the L-shape.
  - Width: \( 8 \, \text{cm} \)
  - Height: \( 2 \, \text{cm} \)
  - **Area of Rectangle 1**: \( 8 \times 2 = 16 \, \text{cm}^2 \)

- **Rectangle 2:** The vertical part of the L-shape.
  - Width: \( 2 \, \text{cm} \) (same as the width of the lower vertical strip)
  - Height: \( 8 \, \text{cm} \) (but part of it is cut out by Rectangle 1)
  - **Height to consider**: \( 8 \, \text{cm} - 2 \, \text{cm} = 6 \, \text{cm} \)
  - **Area of Rectangle 2**: \( 6 \times 6 = 36 \, \text{cm}^2 \)

### Step 2: Add the areas of both rectangles.
- Total area = \( 16 + 36 = 52 \, \text{cm}^2 \)

Thus, the area of the figure is **52 square centimeters**.

Would you like more details or have any questions?

---

Here are five related questions to expand your understanding:
1. How would the area change if the height of the vertical section was increased by 2 cm?
2. Can you calculate the perimeter of this L-shaped figure?
3. How can the area be calculated if the L-shape was rotated by 90 degrees?
4. What is the formula for the area of a composite shape like this?
5. How would you calculate the area if the shape were not rectangular but had slanted sides?

**Tip:** When dealing with composite shapes, breaking them into smaller rectangles or known shapes makes calculating areas much simpler.

What is the area of this L-shaped figure?

Learn how to calculate the area of an L-shaped composite figure by breaking it into two rectangles. This problem uses fundamental geometry concepts and the formula for the area of rectangles, making it ideal for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation