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.