Area of a Rhombus
Area from the two diagonals of a rhombus.
Formula
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Example
Diagonals 6 and 8: A = ½·6·8 = 24 square units.
How it works
A rhombus has diagonals that cross at right angles and split each other into equal halves. That means the rhombus can be seen as four right triangles, so its area is half the product of the full diagonal lengths. In other words, the diagonals act like a built-in pair of base-and-height measurements for the shape.
When to use it
Use this formula when you know both diagonals of a rhombus and need its area. It is common in geometry problems, pattern design, engineering sketches, and any situation involving diamond-shaped figures.
Worked example, step by step
Given diagonals d1 = 10 cm and d2 = 12 cm A = 1/2 × d1 × d2 A = 1/2 × 10 × 12 A = 60 Final answer: 60 cm²
Common mistakes to avoid
- multiplying the diagonals without dividing by 2
- using side length instead of diagonal length
- forgetting to include square units in the final answer
Did You Know?
A rhombus's area is half the product of its diagonals — the same formula that works for a kite.
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