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How to Find the Area of a Rhombus

Finding the area of a rhombus is a straightforward process that can be accomplished using a couple of different formulas. A rhombus is a type of polygon that is a quadrilateral (four sides) with all sides of equal length. The area can be calculated in two primary ways:

Using Base and Height

The first method involves using the base and height. The formula for the area (A) is:

A = base × height

In this case, the base is the length of one side of the rhombus, and the height is the perpendicular distance between two opposite sides.

Using Diagonals

The second method utilizes the lengths of the two diagonals (d1 and d2). The formula for the area is:

A = (d1 × d2) / 2

This formula is particularly useful when the diagonals are known, as it directly relates to the properties of the rhombus.

Examples

For example, if a rhombus has diagonals measuring 10 cm and 6 cm, the area can be calculated as:

A = (10 × 6) / 2 = 30 cm²

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