Question

What is the area of a rhombus?

Answer 1

Area of a Rhombus

Formulas are given below. Note that the diagonals of a rhombus are perpendicular (as is the case with all kites).



Rhombus

s = side length of rhombus
h = height of rhombus
d1 = long diagonal of rhombus
d2 = short diagonal of rhombus

Area = hs
= s2 sin A
= s2 sin B
= (½) d1d2

Year 8 Interactive Maths - Second Edition


Area of a Rhombus
A rhombus has four equal sides and its diagonals bisect each other at right angles.
Consider the area of the following rhombus.


The diagonals of a rhombus bisect each other at right angles.





Example 6
Find the area of the following rhombus.


Solution:



So, the area of the rhombus is 216 cm2.

Remember:

A rhombus has four equal sides and its diagonals bisect each other at right angles.
The area of the rhombus is given by the following formula where x and y are the lengths of the diagonals of the rhombus.

Answer 2

Area of a rhombus = xy/2 where x and y are the lengths of the diagonals of the rhombus