Final answer:
To calculate the area of a trapezoid with base lengths of 3 and 9 and a height of 6, we use the formula A = (1/2)(b_1 + b_2)h. The area is found to be 36 square units.
Step-by-step explanation:
The question asks for the area of a trapezoid with base lengths of 3 and 9 and a height of 6.
To find the area, we use the formula for the area of a trapezoid, which is A = (1/2)(b_1 + b_2)h, where b_1 and b_2 are the base lengths, and h is the height.
Substituting the given values into the formula:
A = (1/2)(3 + 9) * 6
A = (1/2)(12) * 6
A = 6 * 6
A = 36 square units.
Therefore, the area of the trapezoid is 36 square units.