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 = $\mathrm{base}·\mathrm{height}$ = $$b$$$$.$$ $$a$$ ${\mathit{cm}}^{2}$

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 = $\frac{\mathrm{d1}·\mathrm{d2}}{2}$ ${\mathit{cm}}^{2}$

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 = ${s}^{2}·\mathrm{sin}a$

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.