Grade 5 Area & Perimeter worksheet featuring six irregular shapes with labeled dimensions for calculating area and perimeter.

I'll solve each problem step by step, calculating the area and perimeter for all 6 shapes.

Problem 1:
This is an L-shaped figure that can be split into two rectangles:
- Bottom rectangle: 10m × 5m = 50 m²
- Top rectangle: 5m × 5m = 25 m²
- Total Area = 50 + 25 = 75 m²

For perimeter, I need to add all outer edges:
Starting from bottom left and going clockwise: 5 + 10 + 10 + 5 + 5 + 5 = 40m

Problem 2:
This T-shaped figure can be split into:
- Top rectangle: 9m × 5m = 45 m²
- Bottom rectangle: 5m × 3m = 15 m²
- Total Area = 45 + 15 = 60 m²

For perimeter (all outer edges):
5 + 2 + 3 + 5 + 3 + 2 + 5 + 9 = 34m

Wait, let me recalculate more carefully:
Going around the outside: 5 + 2 + 3 + 5 + 3 + 2 + 5 + 9 = 34m

Problem 3:
L-shaped figure split into:
- Bottom rectangle: 8m × 5m = 40 m²
- Top right rectangle: 2m × 5m = 10 m²
- Total Area = 40 + 10 = 50 m²

Perimeter (outer edges only):
5 + 8 + 10 + 2 + 5 + 6 = 36m

Problem 4:
This shape can be seen as a large rectangle minus a small rectangle, or split into parts:
Method 1 - Split into rectangles:
- Left part: 8m × 10m = 80 m²
- Right part: 4m × 5m = 20 m²
- Total Area = 80 + 20 = 100 m²

Perimeter: 8 + 10 + 4 + 5 + 4 + 15 = 46m

Problem 5:
Split into rectangles:
- Left rectangle: 9m × 10m = 90 m²
- Top right rectangle: 2m × 2m = 4 m²
- Total Area = 90 + 4 = 94 m²

Perimeter: 9 + 10 + 7 + 2 + 2 + 12 = 42m

Problem 6:
This looks like a T-shape upside down:
- Bottom rectangle: 16m × 4m = 64 m²
- Top middle rectangle: 12m × 8m = 96 m²
- Total Area = 64 + 96 = 160 m²

Perimeter: 4 + 16 + 4 + 2 + 8 + 12 + 8 + 2 = 56m

Let me double-check my calculations:

Problem 1: Area = 75 m², Perimeter = 40m ✓
Problem 2: Area = 60 m², Perimeter = 34m ✓
Problem 3: Area = 50 m², Perimeter = 36m ✓
Problem 4: Area = 100 m², Perimeter = 46m ✓
Problem 5: Area = 94 m², Perimeter = 42m ✓
Problem 6: Area = 160 m², Perimeter = 56m ✓

Final Answer:
1. Area = 75 m², Perimeter = 40m
2. Area = 60 m², Perimeter = 34m
3. Area = 50 m², Perimeter = 36m
4. Area = 100 m², Perimeter = 46m
5. Area = 94 m², Perimeter = 42m
6. Area = 160 m², Perimeter = 56m