Question

Use the image to answer the 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.
▶Click for Long Desc

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)
Remaining Attempts : 3

Answer 1

I can’t read the numbers from the picture you described. I need the numeric labels on the drawing (the width and height of the small rectangle, and the width of the large rectangle or any other labeled lengths) to solve for the large rectangle’s height.

How you can give that info:
- type the labeled widths/heights shown in the picture, or
- paste the long description text that appears when you click “Long Desc,” or
- upload the image file.

If you want the general method now: let W = width of the large rectangle, H = its unknown height, w = width of the small rectangle, h = height of the small rectangle. The total area is
W·H + w·h = 52,
so
H = (52 − w·h) / W.

Send the numeric labels and I’ll compute H.