Find the area of each irregular shape by breaking into rectangles.

Sure! Let’s solve each of the four irregular shapes by breaking them into rectangles, calculating their areas, and adding or subtracting as needed.

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🔹 Shape 1 (Top Left)

This is an L-shaped figure. We can split it into two rectangles:

- Top rectangle: 2 cm wide × 6 cm tall → Area = 2 × 6 = 12 sq cm
- Bottom rectangle: 5 cm wide × 1 cm tall → Area = 5 × 1 = 5 sq cm

✔ Total Area = 12 + 5 = 17 sq cm

*(Alternatively, you could draw a big rectangle 5×7 = 35, then subtract the missing part: 3×6=18 → 35–18=17 — same result.)*

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🔹 Shape 2 (Top Right)

Also L-shaped. Split into two rectangles:

- Left vertical rectangle: 2 cm wide × 7 cm tall → Area = 2 × 7 = 14 sq cm
- Top horizontal rectangle: 7 cm long × 2 cm tall → Area = 7 × 2 = 14 sq cm

But wait — these overlap at the corner! Actually, better to think of it as:

✔ Option: Subtract from a big rectangle

Big rectangle: 7 cm × (2+2) = 7 × 4 = 28 sq cm
Missing rectangle (the cut-out): 5 cm × 2 cm = 10 sq cm
→ Area = 28 – 10 = 18 sq cm

✔ OR split without overlap:

- Bottom rectangle: 7 cm × 2 cm = 14
- Left vertical strip above it: 2 cm × 2 cm = 4
→ Total = 14 + 4 = 18 sq cm

✔ Answer: 18 sq cm

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🔹 Shape 3 (Bottom Left)

Looks like a square with a smaller rectangle cut out from the middle.

- Big square: 5 in × 5 in = 25 sq in
- Cut-out rectangle: 3 in × 2 in = 6 sq in

✔ Area = 25 – 6 = 19 sq in

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🔹 Shape 4 (Bottom Right)

Step-like shape. Break into two rectangles:

- Bottom rectangle: 8 in × 2 in = 16 sq in
- Top rectangle: 6 in × 3 in = 18 sq in

✔ Total Area = 16 + 18 = 34 sq in

*(Note: The top rectangle sits centered on the bottom one — but since we’re only adding areas and there’s no overlap, this works.)*

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## ✔ Final Answers:

- Shape 1: 17 sq cm
- Shape 2: 18 sq cm
- Shape 3: 19 sq in
- Shape 4: 34 sq in

Let me know if you’d like a visual breakdown for any of them!