3 m
4 m
2 m
8 m
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 value in meters of the height of the larger rectangle, we first need to calculate the area of the two rectangles.
The area of the smaller rectangle is (3m x 4m) = 12 square meters
The area of the larger rectangle is therefore 52 - 12 = 40 square meters
Since the width of the larger rectangle is 8 meters, we can calculate the height using the formula for the area of a rectangle:
Area = length x width
40 = x x 8
40 = 8x
x = 5
Therefore, the height of the larger rectangle is 5 meters.