Final answer:
The area of the similar figure is 60 cm².
Step-by-step explanation:
The area of similar figures is proportional to the square of their corresponding side lengths. In this case, the smaller figure has a side length of 15 cm and an area of 50 cm². To find the area of the larger figure, we can set up a proportion using the ratios of their side lengths: 18 cm / 15 cm = x / 50 cm². Solving for x, we find that the area of the larger figure is approximately 60 cm². Therefore, the area of the similar figure is 60 cm².