Grade 6 Area Worksheets | Find the Area of Compound Shapes - Free Printable

I will solve this Grade 6 Area Worksheet by calculating the area of each irregular shape. The standard method for finding the area of such shapes is to divide them into simpler rectangles and then add or subtract their areas.

Let me start with problem #1.

Problem 1:
The shape is an L-shape. I can calculate its area by dividing it into two rectangles.
- Rectangle A (left part): height = 8m, width = (12m - 8m) = 4m
- Rectangle B (bottom part): height = 3m, width = 12m

Area = Area of Rectangle A + Area of Rectangle B
Area = (8m × 4m) + (3m × 12m)
Area = 32m² + 36m²
Area = 68m²

Problem 2:
This shape can be seen as a large rectangle with a smaller rectangle cut out from the top right corner.
- Large rectangle: height = 20cm, width = 18cm
- Cut-out rectangle: height = 10cm, width = 5cm

Area = Area of Large Rectangle - Area of Cut-out Rectangle
Area = (20cm × 18cm) - (10cm × 5cm)
Area = 360cm² - 50cm²
Area = 310cm²

Problem 3:
This shape can be calculated as a large rectangle with a smaller rectangle cut out from the middle top.
- Large rectangle: height = 10m, width = 14m
- Cut-out rectangle: height = (10m - 8m) = 2m, width = 5m

Area = Area of Large Rectangle - Area of Cut-out Rectangle
Area = (10m × 14m) - (2m × 5m)
Area = 140m² - 10m²
Area = 130m²

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Final Answers:

1. Area = 68 m²
2. Area = 310 cm²
3. Area = 130 m²