A trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. What is the length of the other base? (1 point) Responses 3.5 in. 3.5 in. 7 in. 7 in. 18.5 in. 18.5 in. 22 in.
The formula to find the area of a trapezoid is (1/2)(sum of the bases)(height). We are given the area (166.5 in²), the height (9 in.), and one base (15 in.).
So, using the formula:
166.5 = (1/2)(15 + x)(9)
333 = (15 + x)(9)
333 = 135 + 9x
198 = 9x
22 = x
Therefore, the length of the other base is 22 in.
Answer: 22 in.