https://file.aiquickdraw.com/mathbot/file/1728594454315mxxavm2v.jpg

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

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

Where:
- \( b_1 \) and \( b_2 \) are the lengths of the parallel sides (bases),
- \( h \) is the height (the perpendicular distance between the parallel sides).

From the image:
- \( b_1 = 7 \, \text{cm} \) (the shorter base),
- \( b_2 = 19 \, \text{cm} \) (the longer base),
- \( h = 13 \, \text{cm} \) (the height).

Now, plugging the values into the formula:

\[
A = \frac{1}{2} \times (7 + 19) \times 13 = \frac{1}{2} \times 26 \times 13 = 13 \times 13 = 169 \, \text{cm}^2
\]

So, the area of the trapezium is approximately **169 cm²** to the nearest whole number.

Would you like more details or have any questions?

Here are some related questions you might explore:
1. What are some real-life examples of trapeziums?
2. How do you derive the area formula for a trapezium?
3. What happens to the area if both bases are equal?
4. How can the area of a trapezium be used in composite shapes?
5. How does changing the height affect the area of a trapezium?

**Tip:** The height in a trapezium must always be measured perpendicularly to the bases.

To the nearest whole number, calculate the area of the trapezium with bases of 7 cm and 19 cm, and a height of 13 cm.

Learn how to calculate the area of a trapezium with base lengths of 7 cm and 19 cm, and a height of 13 cm. Using the area formula for a trapezium, the solution is presented step-by-step, ideal for students in Grades 6-8.

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