How to Calculate the Areas of Triangles and Quadrilaterals

The area of a triangle is half the base times the height. For a quadrilateral, split it into triangles or use the formula for its type, since a trapezoid, parallelogram, and rhombus each have their own shortcut.

Worked examples: areas of triangles and quadrilaterals

Practice questions on triangle and quadrilateral area

1. Determine the area of a triangle with a base of (12 text{cm}) and a height of (8 text{cm}).
2. Calculate the area of a square with a side length of (6 text{cm}).
3. What is the area of a parallelogram with a base of (9 text{cm}) and a height of (5 text{cm})?
4. A rhombus has one diagonal measuring (15 text{cm}). If its area is (45 text{cm}^2), find the length of the other diagonal.

1. (48 text{cm}^2).
2. (36 text{cm}^2).
3. (45 text{cm}^2).
4. (6 text{cm}).

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