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

To find the height of the larger rectangle, we need to know the dimensions of both rectangles in the composite figure. Let's assume the larger rectangle has a length of L meters and a width of W meters, and the smaller rectangle has a length of l meters and a width of w meters.

The area of the larger rectangle is given by:
Area of larger rectangle = L * W

The area of the smaller rectangle is given by:
Area of smaller rectangle = l * w

Since the total area of the composite figure is the sum of the areas of the two rectangles, we have:
Area of composite figure = Area of larger rectangle + Area of smaller rectangle
52 = L * W + l * w

We also know that the height of the larger rectangle is the same as the height of the composite figure, which is equal to the sum of the heights of the two rectangles:
Height of composite figure = W + w

Now we need to find the value in meters of the height of the larger rectangle. Since we only have the area of the composite figure and not the specific dimensions of the rectangles, it is not possible to determine the exact height of the larger rectangle without more information.