### Theory:

To calculate the area of a parallelogram, multiply the base times '$$b$$' the height '$$h$$'. Area of parallelogram $$A =$$ $$b × h$$ $$square$$ $$units$$.
Example:
A parallelogram has a base of $$6 m$$ and $$3 m$$ height, what is its area?

Let the base $$b= 6m$$ and the height $$h= 3m$$.

Area $$A = b × h = 6m × 3m =18m²$$.
To calculate the base of the parallelogram, divide area '$$A$$' by height '$$h$$'.

Base of parallelogram $$b = A/h$$ unit.
Example:
A parallelogram has an area of $$64 m²$$ and its height $$4 m$$, what is its base?

Let the area $$A= 64m²$$ and the height $$h= 4m$$.

Base $$=$$ $\frac{A}{h}=\frac{64}{4}=\phantom{\rule{0.147em}{0ex}}16m$.
To calculate the height of the parallelogram, divide area '$$A$$' by base '$$b$$'.

Height of parallelogram $$h = A/b$$ unit.
Example:
A parallelogram has an area of $$64 m²$$ and $$16 m$$ base, what is its height?

Let the area $$A= 64m²$$ and the height $$h= 16m$$.

Height $$=$$ $\frac{A}{b}=\frac{64}{16}=\phantom{\rule{0.147em}{0ex}}\mathit{4}\phantom{\rule{0.147em}{0ex}}m$.

Where '$$A$$' is denoted as area, '$$b$$' is denoted as the base and '$$h$$' is denoted as the height.
To calculate the perimeter of a parallelogram, multiply $$2$$ times the (base $$+$$ side length). Perimeter of parallelogram $$P = 2 (b + l)$$.

Where '$$b$$' is denoted as the base, and '$$l$$' is denoted as the side length.
Example:
A parallelogram has a base of $$5 m$$ and $$3 m$$ length, what is its perimeter?

Here the base $$b= 5m$$ and the side length $$l= 3m$$.

Perimeter $$=2(b + l)$$

$$=2(5+3)$$

$$=2(8)$$

$$=16m$$.