Let's denote the height of the larger rectangle as h and the width as w.
Given:
Area of the larger rectangle = h * w = 40 square meters
Area of the smaller rectangle = 12 square meters
We also know that the total area of the composite figure is equal to the sum of the areas of the two rectangles:
40 + 12 = h * w + 12
52 = h * w + 12
Since we are looking for the height of the larger rectangle, we can express the width of the larger rectangle in terms of its height:
w = 40 / h
Now we can substitute w in the equation for the total area of the composite figure:
52 = h * (40/h) + 12
52 = 40 + 12
52 = 52
Now we can solve for h:
52 = 52
Therefore, the value of the height of the larger rectangle is 40 meters.
Area of the larger rectangle = 40 square meters
Area of the smaller rectangle = 12 square meters
The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?
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