Question: The figure below not drawn to scale is made up of 3 identical triangles. What is the area of the figure? 30 cm 20 cm Triangle shape in the center-right of the page; a larger composite figure made of 3 identical triangles, with the left vertical side labeled 30 cm and the bottom horizontal side labeled 20 cm. cm²
1. **Problem Statement:** We have a composite figure made up of 3 identical triangles. The figure's left vertical side measures $30$ cm and the bottom horizontal side measures $20$ cm. We need to find the total area of the figure.
2. **Understanding the figure:** Since the figure consists of 3 identical triangles, the total area is 3 times the area of one triangle.
3. **Formula for the area of a triangle:**
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
4. **Identify base and height:**
Assuming the base of each triangle is $20$ cm (the bottom side) and the height is $30$ cm (the vertical side).
5. **Calculate the area of one triangle:**
$$\text{Area}_{\text{one triangle}} = \frac{1}{2} \times 20 \times 30 = \frac{1}{2} \times 600 = 300$$
6. **Calculate the total area of the figure:**
$$\text{Total area} = 3 \times 300 = 900$$
7. **Final answer:** The area of the figure is $900$ cm².