Question

Area of Parallelogram..............

Answer 1

Area of Parallelogram = Base × Altitude

Answer 2

$\huge\mathfrak{Q{\underline{\underline{\textbf{\red{uestion :}}}}}}$

$\textbf{Area of parallelogram}$


$\huge\mathfrak{A{\underline{\underline{\textbf{\red{nswer :}}}}}}$

$\textbf{base x height}$

$\textbf{b h}$


$Derivation$

ABCD is a parallelogram

In which all sides are equal means

AB = CD

and

AD = BC

AC is a altitude which divides the parallelogram in two equal triangles.

Means...

Ar. ∆ABC = Ar. ∆ADC

Now..

Draw a perpendicular on line DC of ∆ ADC

So... now

Area of parallelogram = 2 (Area of ∆ ADC)

= 2 × $\dfrac{1}{2}$ DC × AS

= DC × AS sq. units

Here DC = base

and

AS = height of parallelogram.

So, formula of parallelogram is base × height