A composite geometric figure composed of two rectangles of different sizes, overlaid on a grid. The larger rectangle has a labeled but valueless vertical line indicating the height to be determined. The total area of the figure is mentioned as 52 square meters. There are three potential values for the height, namely 8, 3, and 2, but these are not presented in the image.

The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?

8
3
2

2 meters