Subjects geometry

L Shape Perimeter

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L Shape Perimeter


1. **State the problem:** We have three square tiles, each with side length 30 cm. They are arranged in an L shape: two tiles side by side horizontally, and one tile below the left tile. 2. **Understand the shape:** The L shape consists of three squares. Each square has side 30 cm. 3. **Calculate the perimeter:** - The top horizontal side consists of two tiles, so its length is $2 \times 30 = 60$ cm. - The vertical side on the left consists of two tiles, so its length is $2 \times 30 = 60$ cm. - The other sides are each 30 cm. 4. **Trace the perimeter:** Starting from the top left corner and moving clockwise: - Top side: 60 cm - Right side of the top right tile: 30 cm - Bottom side of the top right tile: 30 cm - Bottom side of the bottom left tile: 30 cm - Left side of the bottom left tile: 30 cm 5. **Sum all sides:** $$\text{Perimeter} = 60 + 30 + 30 + 30 + 30 = 180 \text{ cm}$$ **Final answer:** The perimeter of the new L-shaped figure is **180 cm**.