Question

Find the height, if the area of the parallelogram is 36cm2 and the base is 9cm​

Answer 1

Answer:

area = 36 cm2

base = 9cm

area = b×h

36 = 9×h

h = 4cm

Answer 2

Given : The area of the parallelogram is 36cm² and the base is 9cm .

Exigency to find : The Height of Parallelogram.

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❒ Let's consider the Height of Parallelogram be x cm respectively.

$\dag\:\:\cal{ As,\:We\:know\:that\::}$

$\qquad \dag\:\:\bigg\lgroup \sf{ Area_{(Parallelogram)}\:= b \times h }\bigg\rgroup$

⠀⠀⠀⠀⠀Here b is the Base of parallelogram & h is the Height of Parallelogram & Area of Parallelogram is 36 cm²

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad \longmapsto \sf { 36 = 9 \times h }$

$\qquad \longmapsto \sf { \cancel {\dfrac{36}{9}} = h }$

$\qquad \longmapsto \cal{\purple {\underline{ h = 4cm }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Height \:of\:Parallelogram \:is\:\bf{4\: cm}}}}$

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V E R I F I C A T I O N :

$\dag\:\:\cal{ As,\:We\:know\:that\::}$

$\qquad \dag\:\:\bigg\lgroup \sf{ Area_{(Parallelogram)}\:= b \times h }\bigg\rgroup$

⠀⠀⠀⠀⠀Here b is the Base of parallelogram & h is the Height of Parallelogram & Area of Parallelogram is 36 cm²

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known\: Values \::}}$

$\qquad \longmapsto \sf { 36 = 9 \times 4}$

$\qquad \longmapsto \cal{\purple {\underline{ 36cm^2 = 36cm^2 }}}$

⠀⠀⠀⠀⠀$\therefore {\underline {\bf{ Hence, \:Verified \:}}}$