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Area of a rhombus

Area of a rhombus is calculated by multiplying the base by the height. Since the rhombus is a parallelogram its area is calculated in the same way as area of a parallelogram. However, there are 3 ways to calculate area of a rhombus according to the values you know. Two of the methods are based on Geometry and the third one is based on Trigonometry. Here are presented only the first two methods based on Geometry.

Area of a rhombus

A rhombus is a parallelogram with equal sides.

A = b × h
or
A = (d1 × d2) ÷ 2

Where:
A = area of the rhombus
b = base of the rhombus
h = height of the rombus
d1 = one diagonal of the rhombus
d2 = the other diagonal of the rhombus

Example:
If b = 4, h = 3 then A = ?
A = b × h = 4 × 3 = 12 square units

If d1 = 3, d2 = 6 then A = ?
A = (d1 × d2) ÷ 2 = (3 × 6) ÷ 2 = 18 ÷ 2 = 9 square units

Note:
The diagonals of a rhombus are perpendicular to each other.