To find the height of the larger rectangle, we need more specific dimensions of the rectangles or additional information about their proportions. The area of the composite figure is given as 52 square meters, but without the dimensions of the rectangles or their relationship, we cannot determine the height of the larger rectangle solely based on the area.
If the problem provides any additional data (like the width or height of the smaller rectangle, or how the areas relate), please share that for a more precise answer.