Area — Triangles and Quadrilaterals (AQA GCSE Maths): Flashcards

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Area — Triangles and quadrilaterals
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Area formula for a triangle

A=12×base×vertical heightA = \frac{1}{2} \times \text{base} \times \text{vertical height}

Area formula for a parallelogram

A=base×vertical heightA = \text{base} \times \text{vertical height}

Area formula for a trapezium

A=12(a+b)×vertical heightA = \frac{1}{2}(a + b) \times \text{vertical height}

What is vertical height?

The perpendicular distance from base to top (not the sloping height)

Most common mistake in area calculations

Using sloping height instead of vertical height

How to find area of composite shapes

Break into simple shapes, calculate each, add together

In trapezium formula, what are aa and bb?

Lengths of the two parallel sides

Why does triangle area formula use 12\frac{1}{2}?

A triangle is half of a parallelogram

How to find missing dimension from known area

Rearrange formula and solve for the unknown variable

Key caution for composite shapes

Don't double-count areas or miss sections

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