Find the perimeter of rhombus which has a side of 50 mm length.

Concept:

Rhombus:

• A rhombus is a special case of a parallelogram.
• In a rhombus, opposite sides are parallel and the opposite angles are equal.
• Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.

The perimeter of a Rhombus:

• The perimeter of a rhombus is the sum of its four sides, thus the perimeter of the rhombus formula = 4 × a, where 'a' is the side.

Calculation:

Given:

Side of the rhombus = 50 mm = 5 cm

∵ Perimeter of the rhombus = 4 × side = 4 × 5 = 20 cm

Additional InformationArea of a Rhombus Formula:

• To find the area of a rhombus, we find the total area enclosed by a rhombus.
• The area of the rhombus can be calculated by the following rhombus formulas:

When the length of the diagonals is given:

Area of a rhombus formula = 1/2 × d₁ × d₂

When the length of the side of the rhombus and interior angle are given:

Area of rhombus formula = a² × sin θ
where,
d₁ and d₂ are the diagonals,
a is the length of the side of the rhombus,
θ is the interior angle