The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?
measures: 8, 3, 2
Let the height of the larger rectangle be x meters.
The area of the larger rectangle is 8x square meters.
The area of the smaller rectangle is 3*2 = 6 square meters.
Therefore, the total area of the composite figure is 8x + 6 = 52 square meters.
Subtracting 6 from both sides gives:
8x = 46
Dividing both sides by 8 gives:
x = 5.75
Therefore, the height of the larger rectangle is 5.75 meters.