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.
To find the length of the other base of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (sum of the bases) * height
Given that the area is 166.5 in², the height is 9 in, and one base is 15 in, we can substitute these values into the formula:
166.5 = (1/2) * (15 + other base) * 9
Multiplying both sides by 2 and then dividing both sides by 9, we can isolate the other base:
2 * 166.5 = (15 + other base) * 9
333 = 15 + other base
Subtracting 15 from both sides gives:
other base = 333 - 15 = 318
Therefore, the length of the other base is 318 inches.