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Rectangle Area Calculations

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Rectangle Area Calculations worksheet preview

Rectangle Area Calculations

Rectangle area illustration

📐 Part 1: Basic Rectangle Area

1. Calculate the area of each rectangle. Remember: Area = length × width

a) Rectangle: length = 8 cm, width = 5 cm

Area = _______ cm²

b) Rectangle: length = 12 m, width = 7 m

Area = _______ m²

2. A rectangular garden bed is 15 metres long and 9 metres wide. What is its area?

Answer: _____________ m²

3. Which rectangle has the larger area?

Rectangle A: 6 cm × 8 cm

Rectangle B: 7 cm × 7 cm

They are the same

Show your working:

🔧 Part 2: Compound Shapes

4. This L-shaped compound shape is made of two rectangles. Calculate the total area by breaking it into smaller rectangles.

Shape description: An L-shape where the top rectangle is 10 cm × 4 cm and the bottom rectangle is 6 cm × 3 cm (with no overlap).

Step 1: Area of top rectangle = _______ cm²

Step 2: Area of bottom rectangle = _______ cm²

Step 3: Total area = _______ cm²

5. A T-shaped playground consists of:

• Top section: 20 m × 8 m

• Bottom section: 12 m × 6 m

What is the total area of the playground?

Total area = _____________ m²

6. Draw lines to show how you would break this compound shape into rectangles, then calculate the total area:

Shape description: A rectangular house plan with a rectangular extension. Main section: 15 m × 10 m. Extension: 8 m × 5 m.

Total area = _____________ m²

💭 Part 3: Problem Solving

7. Sarah wants to carpet her living room. The room is L-shaped with these measurements:

• Large section: 8 m × 6 m

• Small section: 4 m × 3 m

Carpet costs $25 per square metre. How much will it cost to carpet the entire room?

Answer: $______________

8. A rectangular swimming pool is 25 metres long and 12 metres wide. Around the pool is a deck that is 2 metres wide on all sides. What is the total area of the pool and deck combined?

Total area = _____________ m²

9. Explain in your own words how to find the area of a compound shape made up of rectangles.

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