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Irregular Shape Area Calculation

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Irregular Shape Area Calculation

Irregular Shape Area Calculation

Grid paper with irregular shapes

📐 Part 1: Understanding Area Decomposition

1. What does "area" mean? Circle the best answer:

The distance around a shape

The amount of space a shape covers

The length of one side of a shape

The number of corners in a shape

2. Which units do we use to measure area? Check all that apply:

cm²

metres

square units

centimetres

3. Fill in the blanks:

To find the area of an irregular shape, we can _____________ it into smaller _____________ or _____________ and then _______ up all their areas.

🔢 Part 2: Basic Area Calculations

4. Calculate the area of these rectangles. Show your working:

Rectangle A: Length = 6 cm, Width = 4 cm

Area = _______ cm²

Rectangle B: Length = 8 cm, Width = 3 cm

Area = _______ cm²

5. If you split a shape into 3 rectangles with areas of 12 cm², 8 cm², and 15 cm², what is the total area?

Total area = _______ cm²

✏️ Part 3: Shape Decomposition Practice

6. Look at the irregular L-shape below. Draw lines to show how you would decompose it into rectangles:

Imagine an L-shaped figure on a grid - draw your decomposition lines here

7. For the L-shape you decomposed above, calculate the area of each rectangle:

Rectangle 1: Length = _____ cm, Width = _____ cm, Area = _____ cm²

Rectangle 2: Length = _____ cm, Width = _____ cm, Area = _____ cm²

Total area of L-shape = _______ cm²

🧮 Part 4: Problem Solving

8. Sarah has an irregular shape that she decomposed into 4 rectangles. The areas are 6 cm², 10 cm², 4 cm², and 12 cm². What is the total area?

Answer: _______ cm²

9. Match the decomposition strategy with the correct reason:
1. Use same size square units
2. No gaps or overlaps
3. Split into rectangles
A. Makes calculation easier
B. Ensures accurate measurement
C. Gives consistent results
10. Explain in your own words why we decompose irregular shapes to find their area:

🎯 Part 5: Challenge Questions

11. Design your own irregular shape by drawing it in the box below. Then show how you would decompose it:
12. For your shape above, estimate the area first, then calculate the exact area:

My estimate: _______ cm²

Exact calculation: _______ cm²

13. True or False? Circle your answers:

True
False: You can decompose a shape in only one way

True
False: The total area stays the same no matter how you decompose it

True
False: Area is measured in square units

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