Area of a Kite
Area from the two diagonals of a kite.
Formula
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Example
Diagonals 10 and 4: A = ½·10·4 = 20 square units.
How it works
A kite is a quadrilateral with two pairs of equal adjacent sides, and its diagonals meet at right angles. The area formula works because the diagonals split the kite into four right triangles, so multiplying the diagonal lengths and halving gives the total area. In effect, one diagonal acts like a base and the other provides the combined height across the shape.
When to use it
Use this formula when you know both diagonals of a kite and need its area, such as in geometry problems or when measuring a kite-shaped design. It is especially useful when the side lengths are harder to use but the diagonals are given directly.
Worked example, step by step
A kite has diagonals 12 cm and 7 cm. Use A = 1/2 d1 d2 Substitute the values: A = 1/2 × 12 × 7 Multiply: 12 × 7 = 84 Half of 84 is 42 Final answer: A = 42 cm²
Common mistakes to avoid
- Using only one diagonal instead of both
- Forgetting to divide by 2 after multiplying the diagonals
- Leaving the answer in linear units instead of square units
Did You Know?
A kite's two diagonals always cross at right angles, which is why half their product gives the area.
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