Answer:
264 cm²
Explanation:
The area of a trapezoid is calculated using the following formula:

where:
- base1 and base2 are the lengths of the parallel sides of the trapezoid
- height is the perpendicular distance between the two bases
In this case we do have two trapezoid.
So,
For Big Trapezoid:
- Base 1 = 14 cm
- Base 2 = 25 cm
- Height = 10 cm + 12 cm = 22 cm
Substituting these value in above formula:

Similarly:
For small Trapezoid:
- Base 1 = 8 cm
- Base 2 = 25 cm
- Height = 10 cm
Substituting these value in above formula:

We can find the area of the shaded region by subtracting the small Trapezoid from a big Trapezoid.
Area of shaded region = 429cm² - 165cm²
Area of shaded region = 264 cm²
Therefore, the area of the shaded region is 264 cm².