Area of Irregular Shapes worksheet - Free Printable

To solve the problem of finding the area and perimeter of each irregular shape, we will break down each shape into simpler shapes (like rectangles) and then calculate the area and perimeter accordingly.

Shape 1 (Top Left)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 6 cm x 3 cm = 18 cm²
- Rectangle 2: 2 cm x 1 cm = 2 cm²
- Total Area = 18 cm² + 2 cm² = 20 cm²

Perimeter Calculation:
- Add up all the sides: 6 cm + 3 cm + 2 cm + 1 cm + 2 cm + 4 cm = 18 cm

Shape 2 (Top Middle)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 4 m x 2 m = 8 m²
- Rectangle 2: 4 m x 2 m = 8 m²
- Total Area = 8 m² + 8 m² = 16 m²

Perimeter Calculation:
- Add up all the sides: 4 m + 2 m + 4 m + 2 m + 4 m + 2 m = 18 m

Shape 3 (Top Right)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 2 km x 1 km = 2 km²
- Rectangle 2: 3 km x 3 km = 9 km²
- Total Area = 2 km² + 9 km² = 11 km²

Perimeter Calculation:
- Add up all the sides: 2 km + 1 km + 3 km + 3 km + 2 km + 3 km = 14 km

Shape 4 (Middle Left)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 6 cm x 5 cm = 30 cm²
- Rectangle 2: 3 cm x 2 cm = 6 cm²
- Total Area = 30 cm² + 6 cm² = 36 cm²

Perimeter Calculation:
- Add up all the sides: 6 cm + 5 cm + 3 cm + 2 cm + 3 cm + 6 cm = 25 cm

Shape 5 (Middle Middle)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 8 m x 6 m = 48 m²
- Rectangle 2: 2 m x 6 m = 12 m²
- Total Area = 48 m² + 12 m² = 60 m²

Perimeter Calculation:
- Add up all the sides: 8 m + 6 m + 2 m + 6 m + 8 m + 6 m = 36 m

Shape 6 (Middle Right)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 10 km x 5 km = 50 km²
- Rectangle 2: 10 km x 10 km = 100 km²
- Total Area = 50 km² + 100 km² = 150 km²

Perimeter Calculation:
- Add up all the sides: 10 km + 5 km + 10 km + 10 km + 10 km + 20 km = 65 km

Shape 7 (Bottom Left)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 8 m x 6 m = 48 m²
- Rectangle 2: 2 m x 6 m = 12 m²
- Total Area = 48 m² + 12 m² = 60 m²

Perimeter Calculation:
- Add up all the sides: 8 m + 6 m + 2 m + 6 m + 12 m + 6 m = 40 m

Shape 8 (Bottom Middle)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 5 cm x 6 cm = 30 cm²
- Rectangle 2: 3 cm x 2 cm = 6 cm²
- Total Area = 30 cm² + 6 cm² = 36 cm²

Perimeter Calculation:
- Add up all the sides: 5 cm + 6 cm + 3 cm + 2 cm + 3 cm + 6 cm = 25 cm

Shape 9 (Bottom Right)

Area Calculation:
- The shape can be divided into two rectangles.
- Rectangle 1: 12 m x 4 m = 48 m²
- Rectangle 2: 8 m x 4 m = 32 m²
- Total Area = 48 m² + 32 m² = 80 m²

Perimeter Calculation:
- Add up all the sides: 12 m + 4 m + 8 m + 4 m + 12 m + 4 m = 44 m

Final Answer:
Shape 1: Area = 20 cm², Perimeter = 18 cm
Shape 2: Area = 16 m², Perimeter = 18 m
Shape 3: Area = 11 km², Perimeter = 14 km
Shape 4: Area = 36 cm², Perimeter = 25 cm
Shape 5: Area = 60 m², Perimeter = 36 m
Shape 6: Area = 150 km², Perimeter = 65 km
Shape 7: Area = 60 m², Perimeter = 40 m
Shape 8: Area = 36 cm², Perimeter = 25 cm
Shape 9: Area = 80 m², Perimeter = 44 m