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L-shape

MEA011 · 2D measurement · Classes 6–9

Composite area

A composite shape is made of simple shapes. Find its area by splitting it into rectangles, or by taking a cut-out away from a bigger rectangle.

📐 Formula

A = big rectangle − cut-out (or sum of parts)

✏️ Worked example

10 × 8 rectangle with a 4 × 3 corner removed: 80 − 12 = 68.

🌍 Where it is used

Floor plans, gardens and room carpets.

❓ Quick check

A 6 × 5 rectangle with a 2 × 2 square cut out. Area?

🏋️ Practice

EasyL-shape: 8 × 6 minus 3 × 2. Area?

Answer: 42

MediumTwo rectangles 5 × 2 and 3 × 4 side by side. Area?

Answer: 22

ChallengeA 10 m × 6 m lawn with a 2 m-wide path inside along one long side. Lawn area left?

Answer: 40 m²