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 of the height of the larger rectangle, we first need to calculate the area of the larger rectangle and the area of the smaller rectangle.
Let the height of the larger rectangle be h meters. Let the length of the larger rectangle be x meters and the length of the smaller rectangle be y meters.
The area of the larger rectangle = x * h
The area of the smaller rectangle = y * h
Given that the total area of the composite figure is 52 square meters, we can write the equation:
Area of larger rectangle + Area of smaller rectangle = 52
x * h + y * h = 52
Now we need to find x and y in terms of h. The width of the larger rectangle is twice that of the smaller rectangle, so x = 2y.
Substitute x = 2y into the equation:
2y * h + y * h = 52
3y * h = 52
y * h = 52 / 3
y = 52 / 3h
Since the width of the larger rectangle is twice the width of the smaller rectangle, the height of the larger rectangle (h) is 2y = 2 * (52 / 3h) = 104 / 3h meters.
Thus, the height of the larger rectangle is 104 / 3 meters.