Find the area of irregular shapes in this Grade 6 math worksheet.

Let's solve each of the three area problems step by step. These are composite shapes (made up of rectangles), so we'll break them down into simpler rectangles, find their areas, and then add or subtract as needed.

---

Problem 1

Shape: L-shaped figure
Given dimensions:
- Total width = 12 m
- Height on left = 8 m
- Right section height = 3 m
- The horizontal segment at the top is 8 m

We can split this shape into two rectangles:

#### Rectangle A (left part):
- Width = 12 m - 8 m = 4 m (since the right rectangle is 8 m wide)
- Height = 8 m
- Area = 4 × 8 = 32 m²

#### Rectangle B (right part):
- Width = 8 m
- Height = 3 m
- Area = 8 × 3 = 24 m²

#### Total Area:
32 + 24 = 56 m²

✔ Area = 56 m²

---

Problem 2

Shape: Rectangle with a smaller rectangle cut out from the top-right corner
Given dimensions:
- Large outer rectangle: 20 cm (height) × 18 cm (width)
- Cut-out rectangle: 10 cm (height) × 5 cm (width)

We can calculate the area of the large rectangle and subtract the missing piece.

#### Area of full rectangle:
18 × 20 = 360 cm²

#### Area of missing rectangle:
10 × 5 = 50 cm²

#### Total Area:
360 - 50 = 310 cm²

✔ Area = 310 cm²

---

Problem 3

Shape: Rectangle with a rectangular "notch" in the middle
Given dimensions:
- Outer rectangle: 14 m (width) × 10 m (height)
- Notch: 5 m (width) × 4 m (height)

Again, we'll compute the area of the full rectangle and subtract the notch.

#### Area of full rectangle:
14 × 10 = 140 m²

#### Area of notch:
5 × 4 = 20 m²

#### Total Area:
140 - 20 = 120 m²

✔ Area = 120 m²

---

✔ Final Answers:

1. 56 m²
2. 310 cm²
3. 120 m²

Let me know if you'd like a visual breakdown or explanation for any step!