Answer:
10.6 feet.
Explanation:
The area of a trapezoid is given by the formula:
A = (1/2)h(b1 + b2)
where A is the area, h is the height, and b1 and b2 are the lengths of the parallel bases.
We are given that the area of the trapezoid is 134.33 square feet, the height is 10.1 feet, and one base is 16 feet long. Let's substitute these values into the formula and solve for the length of the other base:
134.33 = (1/2)(10.1)(16 + b2)
268.66 = 10.1(16 + b2)
268.66 = 161.6 + 10.1b2
107.06 = 10.1b2
b2 = 10.6 feet
Therefore, the length of the other base is approximately 10.6 feet.