AQA · Mathematics · 8300
GCSE Maths: Area: trapezium
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Area: trapezium (Corbettmaths Video 48), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the formula for the area of a trapezium?
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Area = ½ × (sum of parallel sides) × height, or A = ½ × (a + b) × h, where a and b are the lengths of the parallel sides and h is the perpendicular height between them.
A trapezium is a quadrilateral with exactly ?.
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one pair of parallel sides
If a trapezium is enlarged by scale factor k, by what factor does its area increase?
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k² (the square of the scale factor). For example, if scale factor is 3, the area increases by a factor of 9.
Why do you multiply by ½ in the trapezium area formula?
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Because a trapezium can be thought of as having an average width (the mean of the two parallel sides), and the formula calculates the area using this average.
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