Question

solve the following:-

2] If a square sheet has perimeter of 72 cm, then what is its area?​

Answer 1

Answer:

we know that perimeter of a square sheet= 4× side= 72cm.

so, side= 18cm

and area of square sheet= (side)²

so, area of square sheet = (18)²

area of square sheet= 324 cm²

Answer 2

Given : The Perimeter of Square sheet is 72 m .

Need To Find : Area of Square.

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⠀⠀⠀⠀⠀Finding Side of Square sheet to find Area of Square sheet :

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

$\qquad \quad \dag\:\:\bigg\lgroup \sf { Perimeter _{(Square)} = 4 \times Side }\bigg\rgroup$

⠀⠀⠀⠀⠀ Here Perimeter of Square sheet is : 72 cm .

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

$\qquad \longmapsto \sf 72 = 4 \times Side$

$\qquad \longmapsto \sf \cancel {\dfrac{72}{4}} = Side$

$\qquad \longmapsto \boldsymbol {\underline {\purple {Side = 18\:cm }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  \:Side \:of\:Square\:sheet \:is\:\bf{18\: cm}}}}$

⠀⠀⠀⠀⠀Finding Area of Square sheet :

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

$\qquad \quad \dag\:\:\bigg\lgroup \sf { Area_{(Square)} = Side \times Side }\bigg\rgroup$

⠀⠀⠀⠀⠀ Here Side of Square sheet is : 18 cm .

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

$\qquad \longmapsto \sf Area = 18 \times 18$

$\qquad \longmapsto \boldsymbol {\underline {\purple{ Area = 324\:cm^2 }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  \:Area \:of\:Square\:sheet \:is\:\bf{324\: cm^2}}}}$