Area and Perimeter worksheet with six geometric figures and dimensions for calculating area and perimeter.

I'll solve the area and perimeter problems for each shape on this worksheet. Let me go through them one by one.

Problem 1: Rectangle

- Dimensions: 10m (length) × 4m (width)
- Area = length × width = 10m × 4m = 40m²
- Perimeter = 2 × (length + width) = 2 × (10m + 4m) = 2 × 14m = 28m

Problem 2: Triangle

- Base = 9m, Height = 6m
- Area = (base × height) ÷ 2 = (9m × 6m) ÷ 2 = 54m² ÷ 2 = 27m²
- Perimeter: Since we only have the base and height, and no information about the other two sides, we cannot calculate the perimeter with the given information.

Problem 3: Square

- Side length = 7m
- Area = side × side = 7m × 7m = 49m²
- Perimeter = 4 × side = 4 × 7m = 28m

Problem 4: Triangle

- Base = 8m, Height = 12m
- Area = (base × height) ÷ 2 = (8m × 12m) ÷ 2 = 96m² ÷ 2 = 48m²
- Perimeter: Again, we only have the base and height, so we cannot calculate the perimeter without additional information about the other sides.

Problem 5: Rectangle

- Dimensions: 20m (length) × 7m (width)
- Area = length × width = 20m × 7m = 140m²
- Perimeter = 2 × (length + width) = 2 × (20m + 7m) = 2 × 27m = 54m

Problem 6: Rectangle

- Dimensions: 11m (length) × 8m (width)
- Area = length × width = 11m × 8m = 88m²
- Perimeter = 2 × (length + width) = 2 × (11m + 8m) = 2 × 19m = 38m

Summary of Answers:

1. Area: 40m², Perimeter: 28m
2. Area: 27m², Perimeter: Cannot be determined with given information
3. Area: 49m², Perimeter: 28m
4. Area: 48m², Perimeter: Cannot be determined with given information
5. Area: 140m², Perimeter: 54m
6. Area: 88m², Perimeter: 38m