Area of 2D shapes Worksheet | Cazoom Maths Worksheets - Free Printable

To solve the problem of finding the areas of the given 2D shapes, we will use the appropriate formulas for each shape. Let's go through each one step by step.

1) Square

- Formula: \( \text{Area} = \text{side}^2 \)
- Given: Side = 9 cm
- Calculation:
\[
\text{Area} = 9^2 = 81 \, \text{cm}^2
\]

2) Rectangle

- Formula: \( \text{Area} = \text{length} \times \text{width} \)
- Given: Length = 7 cm, Width = 2 cm
- Calculation:
\[
\text{Area} = 7 \times 2 = 14 \, \text{cm}^2
\]

3) Triangle

- Formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
- Given: Base = 4 cm, Height = 8 cm
- Calculation:
\[
\text{Area} = \frac{1}{2} \times 4 \times 8 = \frac{1}{2} \times 32 = 16 \, \text{cm}^2
\]

4) Triangle

- Formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
- Given: Base = 5 cm, Height = 12 cm
- Calculation:
\[
\text{Area} = \frac{1}{2} \times 5 \times 12 = \frac{1}{2} \times 60 = 30 \, \text{cm}^2
\]

5) Triangle

- Formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
- Given: Base = 10 cm, Height = 9 cm
- Calculation:
\[
\text{Area} = \frac{1}{2} \times 10 \times 9 = \frac{1}{2} \times 90 = 45 \, \text{cm}^2
\]

6) Triangle

- Formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
- Given: Base = 7 cm, Height = 11 cm
- Calculation:
\[
\text{Area} = \frac{1}{2} \times 7 \times 11 = \frac{1}{2} \times 77 = 38.5 \, \text{cm}^2
\]

7) Triangle

- Formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
- Given: Base = 8 cm, Height = 14 cm
- Calculation:
\[
\text{Area} = \frac{1}{2} \times 8 \times 14 = \frac{1}{2} \times 112 = 56 \, \text{cm}^2
\]

8) Trapezium

- Formula: \( \text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height} \)
- Given: Parallel sides = 4 cm and 8 cm, Height = 10 cm
- Calculation:
\[
\text{Area} = \frac{1}{2} \times (4 + 8) \times 10 = \frac{1}{2} \times 12 \times 10 = \frac{1}{2} \times 120 = 60 \, \text{cm}^2
\]

Final Answers

\[
\boxed{
\begin{array}{ll}
1) & 81 \, \text{cm}^2 \\
2) & 14 \, \text{cm}^2 \\
3) & 16 \, \text{cm}^2 \\
4) & 30 \, \text{cm}^2 \\
5) & 45 \, \text{cm}^2 \\
6) & 38.5 \, \text{cm}^2 \\
7) & 56 \, \text{cm}^2 \\
8) & 60 \, \text{cm}^2 \\
\end{array}
}
\]