https://file.aiquickdraw.com/mathbot/file/1728657460040xbsxqbp9.jpg

To solve this, let's calculate the **area** and **perimeter** of each shape (A and B) based on the dimensions provided.

### Shape A (orange):
- The shape is an L-shaped figure made of rectangles.
- Break it into two smaller rectangles:
  1. A vertical rectangle with dimensions \( 1 \times 2 \)
  2. A horizontal rectangle with dimensions \( 3 \times 1 \)

#### **Area of A:**
- Area of vertical rectangle = \( 1 \times 2 = 2 \)
- Area of horizontal rectangle = \( 3 \times 1 = 3 \)
- Total area of A = \( 2 + 3 = 5 \, \text{square units} \)

#### **Perimeter of A:**
- Sum of all outer sides: 
  \( 1 + 2 + 3 + 2 + 1 + 1 = 10 \, \text{units} \)

### Shape B (purple):
- Similarly, break shape B into two smaller rectangles:
  1. A vertical rectangle with dimensions \( 1 \times 3 \)
  2. A horizontal rectangle with dimensions \( 2 \times 1 \)

#### **Area of B:**
- Area of vertical rectangle = \( 1 \times 3 = 3 \)
- Area of horizontal rectangle = \( 2 \times 1 = 2 \)
- Total area of B = \( 3 + 2 = 5 \, \text{square units} \)

#### **Perimeter of B:**
- Sum of all outer sides:
  \( 1 + 1 + 3 + 1 + 2 + 2 = 10 \, \text{units} \)

### Final Results:
- **Area of A** = 5 square units
- **Perimeter of A** = 10 units
- **Area of B** = 5 square units
- **Perimeter of B** = 10 units

Let me know if you'd like further details or clarification! 

Here are 5 related questions:
1. How do you calculate the area of irregular shapes?
2. Can shapes with equal areas have different perimeters?
3. How would adding a square unit to shape A or B affect their perimeter?
4. How can the concept of symmetry help in solving area and perimeter problems?
5. How can you decompose more complex shapes into simpler parts to calculate area?

**Tip:** For irregular shapes, break them into smaller, easily measurable shapes like rectangles or triangles to simplify calculations.

Find the area and perimeter of shapes A and B.

Learn how to calculate the area and perimeter of two L-shaped polygons by decomposing them into smaller rectangles. This problem involves basic geometric concepts, making it suitable for students in Grades 5-7.

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