Subjects geometry

Perimeter Counting Bce360

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1. **State the problem:** We need to find the perimeter of an L-shaped figure drawn on a 6x6 grid where each square side is 1 cm. 2. **Understand the shape:** The L-shape covers 3 squares vertically and then extends 2 squares horizontally from the bottom of the vertical section. 3. **Recall the perimeter formula:** The perimeter is the total length around the shape, which is the sum of all outer edges. 4. **Count the edges:** - Vertical left side: 3 cm (3 squares) - Bottom horizontal side: 2 cm (2 squares) - Top horizontal side: 1 cm (top square width) - Right vertical side: 1 cm (vertical part on the right) - Inner vertical edge (not counted in perimeter as it is inside the shape) - Inner horizontal edge (not counted in perimeter) 5. **Calculate the perimeter:** The perimeter is the sum of the outer edges: $$3 + 2 + 1 + 3 = 9 \text{ cm}$$ 6. **Explain:** We add the lengths of all outer edges without counting any edges inside the shape. **Final answer:** The perimeter of the L-shaped figure is $9$ cm.