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Area of Triangles & Parallelograms

Calculate the area of parallelograms and triangles using formulae (A = b × h for parallelograms, A = ½ × b × h for triangles)

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What a learner can do afterwards

  • Calculate the area of a parallelogram with base 8 cm and height 5 cm
  • Calculate the area of a triangle with base 12 cm and height 7 cm
  • Explain why the area of a triangle is half the area of a related parallelogram

1 · Read

Area tells you how much flat space a shape covers. You measure it in square units, like square centimetres (cm²). For a parallelogram, the formula is simple: multiply the base by the height. A = b × h.

Try it together

A parallelogram has a base of 8 cm and a height of 5 cm. Multiply the base by the height: 8 × 5 = 40. The area is 40 cm².

A triangle is different. Two matching triangles fit together to make a parallelogram with the same base and height. So a triangle's area is always half of that parallelogram's area. The formula is A = ½ × b × h.

This triangle has a base of 12 cm and a height of 7 cm. Half of 12 × 7 is 42, so its area is 42 cm².
Good to know

Always multiply base by height first. Only halve the answer if you are working with a triangle. Keep the units as square centimetres (cm²).

Multiply base by height for a parallelogram; halve that answer for a triangle.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

18 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Area of Triangles & Parallelograms · Mathematics, ages 10 to 11 · LightMySky