Theory:

Area of a Rhombus:
 
We can calculate the area of the Rhombus using the following methods
 
Method 1:  "Base and Height"
  • Using the one side to be the base  [they are all the same length] and the height of the Rhombus, we can calculate the area.
Area = base ·height = \(b\)\(.\) \(a\) cm2
  
Where,
\(b\) is the length of the base
\(a\) is the altitude (height).
 
Method 2: The "Diagonals"
  • We can calculate the area of a rhombus when we know the lengths of the diagonals. The area is half the product of the diagonals.
Area = d1 ·d22 cm2
 
Where,
\(d1\) is the length of a diagonal
\(d2\) is the length of the other diagonal
 
Method 3: Trigonometry method
  • We can calculate the area of a rhombus when you know the length of a side and any angle of it.
Area = s2 ·sina
 
Where,
\(s\) is the length of any side
\(a\) is any interior angle
 
The Perimeter of the Rhombus:
Like any polygon, the perimeter is the total distance around the rhombus, which can be found by summing the length of each side. In the case of a rhombus, all four sides are the same length by definition, so the perimeter is four times the length of a side.
Perimeter = a+a+a+a = 4a units
Where, \('a'\) is the side lenght of a rhombus.