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Calculate the area of the trapezium ABCD, given AD || BC and height h.

April 16, 2026Mathematics

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Answer

\text{Area} = \frac{1}{2} (AD + BC) h

Step-by-step solution

3 steps

The image shows a trapezium ABCD, where AD is parallel to BC (indicated by the arrows). The line segment labeled 'h' represents the perpendicular height between the parallel sides.

The formula for the area of a trapezium is:

\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}

Identify the parallel sides.
The parallel sides are AD and BC.
Identify the height.
The height is given as 'h'.
Substitute these into the area formula.
$\text{Area} = \frac{1}{2} (AD + BC) h$

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Calculate the area of the trapezium ABCD, given AD || BC and height h.

Answer

Step-by-step solution

Identify the parallel sides.

Identify the height.

Substitute these into the area formula.

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