Question

area 96 sqcm base 12 cm find height of parallelogram.



​

Answer 1

Given : Area of the Parallelogram is 96 cm² and its base is 12 cm .

To Find : Find the Height of Parallelogram

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Area{\small_{(Parallelogram)}} = Base \times Height }}}}}$

$\dag$ Calculating the Height :

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { Area = Base \times Height } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { 96 = 12 \times Height } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { \dfrac{96 }{12} = Height } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { \cancel\dfrac{96 }{12} = Height } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Height = 8 \; cm }}}}} \; {\purple{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

$\therefore \;$ Height of the Parallelogram is 8 cm .

$\\ \qquad{\rule{200pt}{2pt}}$

Answer 2

Given :-

⠀

A parallelogram, in which :-

• Area = 96 cm²

• Base = 12 cm

⠀

To Find :-

⠀

• The height of the parallelogram

⠀

Formula Used :-

⠀

$\qquad \bull \: \orange{ \underline{ \boxed{ \sf Area_{Parallelogram} = Base ~\times~Height }}}$

⠀

Solution :-

⠀

Let the height of the parallelogram be "h", therefore :-

⠀

$\\ \sf \dashrightarrow 96 \: {cm}^{2} = 12 \: cm \times h \\ \\ \\ \sf \dashrightarrow 96 \: {cm}^{2} = 12h \: cm \: \: \: \: \: \: \\ \\ \\\sf \dashrightarrow h = \cancel\frac{96 \: {cm}^{2} }{12 \: cm} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \dashrightarrow h = 8 \: cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

⠀

Thus, the height of the parallelogram is 8 cm.

⠀

──────────────────────────────

⠀