https://file.aiquickdraw.com/mathbot/file/1725373896980qw6krmmy.jpg

To help you with the problem in the uploaded image, I'll first analyze its content.

### Analyzing the Image

The image shows a geometric problem related to a trapezium (trapezoid in US English). It asks for the area of the trapezium \( XYZW \) and provides the following information:

- \( XY \) is parallel to \( WZ \) (these are the two bases of the trapezium).
- The lengths are given as:
  - \( XY = 8 \) units (top base).
  - \( WZ = 20 \) units (bottom base).
  - The height \( h = 5 \) units (perpendicular distance between the two bases).

### Solution to the Problem

To calculate the area of a trapezium, the formula is:

\[
\text{Area} = \frac{1}{2} \times ( \text{Base}_1 + \text{Base}_2 ) \times \text{Height}
\]

Plugging in the given values:

\[
\text{Area} = \frac{1}{2} \times (8 + 20) \times 5
\]

Calculating the values:

\[
\text{Area} = \frac{1}{2} \times 28 \times 5 = 14 \times 5 = 70 \, \text{square units}
\]

### Final Answer

The area of trapezium \( XYZW \) is **70 square units**.

Would you like more details, or do you have any questions?

### Related Questions to Explore Further

1. How do you calculate the perimeter of a trapezium?
2. What is the difference between a trapezium and a parallelogram?
3. How does the formula for the area of a trapezium change if it is isosceles?
4. Can the formula for the area of a trapezium be derived using integration?
5. How would you find the height of a trapezium if only the area and bases are known?

### Tip

When solving geometry problems, always make sure to double-check the units and ensure consistency in the measurement units used throughout the calculation.

Calculate the area of the trapezium XYZW with the given dimensions XY = 8 units, WZ = 20 units, and height h = 5 units.

Learn how to calculate the area of trapezium XYZW given the bases of 8 and 20 units and a height of 5 units. This problem explores key geometric concepts suitable for students in Grades 6-8.

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