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To calculate the area of the trapezium, we will use the formula for the area of a trapezium (trapezoid):

\[
A = \frac{1}{2} \times (a + b) \times h
\]

where:
- \(a\) and \(b\) are the lengths of the parallel sides (bases),
- \(h\) is the height (the perpendicular distance between the parallel sides).

From the diagram:
- The two parallel sides are 14 cm and 10 cm,
- The height (perpendicular distance between the parallel sides) is 20 cm.

Now we can substitute the values into the formula:

\[
A = \frac{1}{2} \times (14 + 10) \times 20
\]
\[
A = \frac{1}{2} \times 24 \times 20
\]
\[
A = \frac{1}{2} \times 480 = 240 \, \text{cm}^2
\]

So, the area of the trapezium is **240 cm²**.

Do you need more details or have any questions?

Here are some additional questions for further exploration:
1. What is the significance of the height in the trapezium's area calculation?
2. How would the area change if the height were 25 cm instead of 20 cm?
3. Can a trapezium have equal bases? If so, what shape does it form?
4. How do the non-parallel sides (17 cm and the unknown) affect the shape of the trapezium?
5. How could we calculate the perimeter of this trapezium?

**Tip:** Always ensure you are using the correct height, which is the perpendicular distance between the two parallel sides, not any slant height.

Work out the area of the trapezium below.

Learn how to calculate the area of a trapezium with parallel sides measuring 14 cm and 10 cm and a height of 20 cm. Follow a step-by-step guide to solve the problem using the formula A = 1/2 * (a + b) * h, suitable for students in Grades 7-9.

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