AQA · Mathematics · 8300
GCSE Maths: Area: parallelogram
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Area: parallelogram (Corbettmaths Video 44), 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 parallelogram?
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Area = base × height (where height is the perpendicular height)
In the parallelogram area formula, does 'height' refer to the slant side or the perpendicular height?
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The perpendicular height (not the slant side)
If a parallelogram has area 27 cm² and base 9 cm, what is its perpendicular height?
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3 cm (since Area = base × height, so 27 = 9 × h, giving h = 3)
If a parallelogram has area 40 cm² and height 5 cm, what is its base?
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8 cm (since Area = base × height, so 40 = base × 5, giving base = 8)
What is the area of a parallelogram with base 8 cm and perpendicular height 6 cm?
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48 cm² (Area = 8 × 6 = 48)
If two congruent parallelograms each have base 22 cm and height 30 cm, what is their combined area?
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1320 cm² (Each parallelogram has area 22 × 30 = 660 cm², so total = 2 × 660 = 1320 cm²)
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