Final answer:
The area of the trapezoid can be found using the formula: Area = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the bases and h is the height of the trapezoid.
Step-by-step explanation:
To find the area of a trapezoid, we can use the formula: Area = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the bases and h is the height of the trapezoid.
In this case, the bases are AB and CD. We're given that AB = 6 cm and BC = 9√2 cm. Since BC is the height of the trapezoid, that also serves as the height.
Plugging in the values, we get Area = (6 + 9√2) * (9√2) / 2. You can simplify this expression and calculate the numerical value using a calculator.