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Perimeter, area and volume · Usually met around P5

Areas of parallelograms, triangles and trapeziums

From “Heights of triangles and quadrilaterals” to “Areas of polygons”, step by step, each skill with its methods, worked examples and answers.

Skills in this topic, easy to hard

  1. Heights of triangles and quadrilateralsSquare to the base, from the base to the opposite corner
  2. Area of a parallelogramBase × height: the slanting side isn't the height
  3. Area of a triangleBase × height ÷ 2: halve the even one first
  4. Area of a trapezium(top + bottom) × height ÷ 2
  5. Areas of triangles, parallelograms and trapeziums togetherBase × height; a triangle's is half that
  6. From an area back to a base or heightTriangle: height = area × 2 ÷ base
  7. Areas of polygonsCut up and add, or fill in and subtract
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