Answer:
To find the area of a trapezoid, we use the formula A = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the bases, and h is the height. In this case, we know that the area is 64 square meters and the height is 4 meters. We can set up the equation as follows:
64 = (b1 + b2) * 4 / 2
We can simplify this equation by multiplying both sides by 2 and dividing both sides by 4:
64 * 2 / 4 = (b1 + b2)
This simplifies to
32 = b1 + b2
We also know that b1 = x meters and b2 = x + 6 meters, so we can substitute these values into the equation:
32 = x + x + 6
We can combine like terms to find that 2x + 6 = 32, so 2x = 26 and x = 13. Therefore, the length of the first base is 13 meters, and the length of the second base is 13 + 6 = 19 meters.
Explanation: