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Intermediate △ Geometry Topic 24 of 100

Area of Rhombus and Kite

Half the product of diagonals.

Key idea

Half the product of diagonals.

In depth

For shapes with perpendicular diagonals, the area is half the product of the diagonals: A = ½ d₁d₂. The diagonals split the shape into four right triangles whose areas add up to that.

Worked example

Diagonals 10 and 6: A = ½ × 10 × 6 = 30.

Formula

A = ½ d₁ d₂

Real-world uses

Common mistake

Using side lengths in place of diagonals.

How to learn this

  1. Read the key idea and say it in your own words.
  2. Work through the worked example, then try a similar problem.
  3. Use the interactive lesson’s visual and mini-quiz to check the pattern.

Frequently asked questions

What is Area of Rhombus and Kite?

Half the product of diagonals. It is a topic at the intermediate level in Geometry.

What is the formula for Area of Rhombus and Kite?

The key formula is A = ½ d₁ d₂.

Where is Area of Rhombus and Kite used in real life?

Real-world examples: Calculating the area of a diamond-shaped kite, stained-glass pane or tile pattern.

What should I learn before Area of Rhombus and Kite?

Make sure you are comfortable with Area of Trapezoid, the previous topic in Geometry.

What is a common mistake with Area of Rhombus and Kite?

Using side lengths in place of diagonals.

How can I practise Area of Rhombus and Kite?

Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.

What comes after Area of Rhombus and Kite?

Move on to Quadrilaterals next.

Related intermediate topics in Geometry