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To find the area of the trapezoid, we will use the formula for the area of a trapezoid:

\[
A = \frac{1}{2} (b_1 + b_2) \times h
\]

Where:
- \(b_1\) is the length of the longer base.
- \(b_2\) is the length of the shorter base.
- \(h\) is the height of the trapezoid.

From the diagram:
- \(b_1 = 5.2 \, \text{cm}\) (the length of \(WZ\)),
- \(b_2 = 2.5 \, \text{cm}\) (the length of \(XY\)),
- \(h = 2.8 \, \text{cm}\) (the vertical height).

Now, let's calculate the area:

\[
A = \frac{1}{2} (5.2 + 2.5) \times 2.8
\]

I will compute this value for you.The area of the trapezoid is approximately \( 10.8 \, \text{cm}^2 \).

Would you like more details or have any questions? Here are some related questions to deepen your understanding:

1. How would the area change if the height were doubled?
2. What is the significance of the height in the trapezoid formula?
3. Can the area formula for trapezoids apply to other quadrilaterals?
4. How do you calculate the perimeter of this trapezoid?
5. What would happen if both bases of the trapezoid were equal in length?

**Tip:** Always ensure that the height is perpendicular to the bases when calculating the area of a trapezoid.

Find the area of the trapezoid with bases b1 = 5.2 cm, b2 = 2.5 cm, and height h = 2.8 cm.

Learn how to find the area of a trapezoid with a detailed step-by-step solution. This problem uses the trapezoid area formula A = (1/2) × (b1 + b2) × h and covers key geometry concepts, suitable for students in Grades 6-8.

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