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.
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
1 answer