se the image to answer the question.

Question

A composite of two rectangles. The top rectangle is a smaller rectangle and is centered on the top width of the bottom larger rectangle.

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

(1 point)

Answer 1

To determine the height of the larger rectangle, we'll first need to know the dimensions of both rectangles. However, you've provided a description instead of an image and we require specific dimensions or additional information about the smaller rectangle, such as its width or height.

If the area of the composite figure (the two rectangles combined) is given as 52 square meters, we can use the following approach:

1. Let the dimensions of the larger rectangle be \( h_L \) (height) and \( w_L \) (width).
2. Let the dimensions of the smaller rectangle be \( h_S \) (height) and \( w_S \) (width).
3. The area of the larger rectangle is \( A_L = h_L \times w_L \).
4. The area of the smaller rectangle is \( A_S = h_S \times w_S \).
5. The total area given is: \( A_L + A_S = 52 \) square meters.

To find the height of the larger rectangle \( h_L \), we would need to know either the width or height of either rectangle or some way to relate the two areas.

If you have any dimensions, or if you can provide any more information, please share that, and I can help you calculate the height of the larger rectangle.