 # Rhombus Calculator Rhombus is a quadrilateral with four equal sides and opposite equal acute and obtuse angles. A rhombus is also a parallelogram with equal sides. Its like a lean square whose diagonals bisect each other but need not be 90 degree.

Calculate the area, perimeter of Rhombus (Rhombus Calculator)

Formula

Base Times Height Method :
Area of Rhombus = b * h

Diagonal Method :
Area of Rhombus = ½ * d1 * d2

Trigonometry Method :
Area of Rhombus = a² * SinA

Perimeter of Rhombus = 4(a)

where,
a = side, b = base, h = height, d1, d2 are diagonals

All four sides of Rhombus are congruent. Its diagonals are perpendicular and bisect vertex angles. Rhombus is also sometimes called as a 'diamond' or 'lozenge' shape.

Examples:
Case 1: Find the area of a rhombus with the given base 4 and height 5 using Base Times Height Method.

Step 1: Find the area.
Area = b * h = 4*5 = 20.

Case 2: Find the area of a rhombus with the given diagonals 4,5 using Diagonal Method.

Step 1: Find the area.
Area = ½ * d1 * d2 = 0.5 * 4*5 = 20*0.5 = 10

Case 3: Find the area of a rhombus with the given side 3 using Trigonometry Method.

Step 1: Find the area.
Area = a² * SinA = 3² * Sin(33) = 9* 1 = 9.

Case 4: Find the perimeter of a rhombus with the given side 3.

Step 1: Find the perimeter.
Perimeter = 4(a) = 4 * 3 = 12.