Decomposing Shapes Worksheet
Grade 4 math worksheet focusing on decomposing geometric shapes into smaller, recognizable parts to understand area and perimeter.
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Decomposing Shapes
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Read each question carefully and follow the instructions. Show your work where necessary.
1. Look at the composite shape below. Decompose it into two rectangles and find the area of each smaller rectangle. Then find the total area of the composite shape.
Area of Rectangle 1:
Area of Rectangle 2:
Total Area:
2. A complex shape can often be broken down, or , into simpler shapes like rectangles and triangles.
3. When you decompose a shape to find its area, you find the area of each smaller shape and then them together.
4. Decomposing shapes helps us calculate the perimeter more easily.
True
False
5. Any irregular polygon can be decomposed into a combination of triangles.
True
False
6. Draw a composite shape by combining a square and a triangle. Then, draw a line to show how you would decompose it.
7. Which of these shapes cannot be decomposed into two rectangles?
8. Sarah wants to find the area of her L-shaped bedroom. She measures one part as 8 feet by 10 feet and the other part as 4 feet by 6 feet. What is the total area of her bedroom? Draw a diagram and show your decomposition.
Show your calculations: