https://file.aiquickdraw.com/mathbot/file/1727286181586wp3yplvv.jpg

Let's solve the puzzle.

### Shape A
Shape A can be split into two rectangles:
- First rectangle (left side): 10m x 10m = \( 10 \times 10 = 100 \, \text{m}^2 \)
- Second rectangle (right side): 12m x 13m = \( 12 \times 13 = 156 \, \text{m}^2 \)

Total area of shape A = \( 100 + 156 = 256 \, \text{m}^2 \)

**Perimeter of Shape A**:
- Total distance around shape A is calculated as: \( 23 + 10 + 12 + 13 + 12 + 10 = 80 \, \text{m} \)

### Shape B
Similarly, we can split shape B into two rectangles:
- First rectangle (outer): 18m x 16m = \( 18 \times 16 = 288 \, \text{m}^2 \)
- Second rectangle (inner cutout): 9m x 5m = \( 9 \times 5 = 45 \, \text{m}^2 \)

Area of shape B = \( 288 - 45 = 243 \, \text{m}^2 \)

**Perimeter of Shape B**:
- Total distance around shape B is: \( 16 + 18 + 16 + 5 + 9 + 8 = 72 \, \text{m} \)

### Final 4-letter code:
Now, we use the answers:
1. Area of shape A = 256
2. Perimeter of shape A = 80
3. Area of shape B = 243
4. Perimeter of shape B = 72

Based on the answer choices, the correct code is **GFEH**.

Let me know if you'd like further explanation on any part!

Solve the puzzle involving areas and perimeters of two L-shaped figures, A and B.

Learn how to solve an engaging puzzle that involves calculating the areas and perimeters of two L-shaped figures. This problem requires breaking down complex shapes into simpler rectangles and applying basic area and perimeter formulas. Suitable for students in Grades 5-7.

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