Rhombus Formula

A rhombus is a type of Parallelogram only. Its diagonals perpendicularly bisect each other.

Formula of Area of Rhombus / Perimeter of Rhombus

There are 3 ways to find the area of Rhombus. Find the formulas for same and Perimeter of Rhombus in the table below.

Perimeter = 4a

Where a is the side.

Area = 4 x ½ (ab)

where

b is the length of the base

a is the altitude (height).

Area =d1d2 / 2

where

d1 is the length of a diagonal

d2 is the length of the other diagonal

Area = Sin2sinx

where

s is the length of any side

x is an interior angle

sin is the sine function

Area of Rhombus Questions

Question: Find the area of a rhombus with the base as 10 cm and diagonal as 14 cm?

Solution: Area = d1d2 / 2

where d1 and d2 are equal diagonals,

A = ½ x 14 x 14

= 7 x 14

= 98 cm2

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Practise This Question

A glass contains some water at room temperature 20C. Refrigerated water is added to it slowly.  When the temperature of the glass reaches 10C, small droplets condense on the outer surface.  Calculate the relative humidity in the room.  The boiling point of water at a pressure of 17.5 mm of mercury is 20C and at 8.9 mm of mercury it is 10C.