Let's solve each of the irregular shapes step by step. The goal is to break each shape into
rectangles, calculate the area of each rectangle, and then add them together.
---
Problem 1: First Shape
```
3m
+-----+
| |
5m | | 3m
| +-----+
| |
| | 3m
+-----------+
```
This shape can be split into two rectangles:
-
Rectangle A1: Left part — height = 5m, width = 3m
→ Area = 5 × 3 =
15 m²
-
Rectangle A2: Right part — height = 3m, width = 3m
→ Area = 3 × 3 =
9 m²
Total Area = 15 + 9 =
24 m²
✔ Fill in:
- A1 = 5 × 3
- A2 = 3 × 3
- Total Area =
24 m²
---
Problem 2: Second Shape
```
10m
+--------+
| |
8m| |10m
| |
| +----+
| | |
| | | 4m
+---+----+
4m
```
We can split this into two rectangles:
-
Rectangle A1: Left side — height = 8m, width = 4m
→ Area = 8 × 4 =
32 m²
-
Rectangle A2: Right side — height = 10m, width = (10 - 4) = 6m
→ Wait! Actually, the full right rectangle is
10m tall and 6m wide? But look carefully.
Wait — actually, the
total width is 10m, and the left part is
4m, so the right part is
6m wide. But the
height of the right rectangle is 10m, and the
left rectangle is only 8m high, but it's aligned with the bottom.
So better to think:
-
A1: Left rectangle — 4m wide × 8m high → 4 × 8 =
32 m²
-
A2: Right rectangle — 6m wide × 10m high → 6 × 10 =
60 m²
But wait — does that make sense?
Let’s re-analyze:
The
entire shape has:
- Bottom base = 10m
- Left side goes up 8m, then a step up to 10m on the right.
- So the
right rectangle is 6m wide (10 - 4) and 10m tall.
- The
left rectangle is 4m wide and 8m tall.
Yes, correct.
So:
- A1 = 4 × 8 =
32 m²
- A2 = 6 × 10 =
60 m²
- Total Area = 32 + 60 =
92 m²
✔ Fill in:
- A1 = 4 × 8
- A2 = 6 × 10
- Total Area =
92 m²
---
Problem 3: Third Shape (House)
```
5m
+------+
| |
12m| | 7m
| +------+
| |
| | 5m
+--------------+
```
Split into two rectangles:
-
A1: Left rectangle — height = 12m, width = 5m
→ Area = 12 × 5 =
60 m²
-
A2: Right rectangle — height = 5m, width = 7m
→ Area = 5 × 7 =
35 m²
Total Area = 60 + 35 =
95 m²
✔ Fill in:
- A1 = 12 × 5
- A2 = 5 × 7
- Total Area =
95 m²
---
✔ Final Answers:
####
First Shape:
- A1 = 5 × 3
- A2 = 3 × 3
- Total Area =
24 m²
####
Second Shape:
- A1 = 4 × 8
- A2 = 6 × 10
- Total Area =
92 m²
####
Third Shape (House):
- A1 = 12 × 5
- A2 = 5 × 7
- Total Area =
95 m²
> So,
95 square metres of carpet are laid in this house.
---
Summary:
- Break irregular shapes into rectangles.
- Use dimensions from the diagram.
- Add areas of individual rectangles.
✔ All done!
Parent Tip: Review the logic above to help your child master the concept of area worksheet 3rd grade.
