Question

The area of a square board is 144 sq. m. What is the perimeter of the square board? *

Answer 1

Given : The area of a square board is 144 sq.m .

Need To Find : The perimeter of the square board .

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$\sf{\bf{Solution \:of\:Question \;:}}$ Let's consider the side of square board be x m .

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⠀⠀⠀⠀As , We have given with the Area of Square Board and we have to find the Perimeter of Square Board Before finding this we have to find Side of Square Board by the Formula of Area of Square and that is ,

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⠀⠀⠀⠀⠀$\implies {\underline {\mathrm { Area _{( Square)} = a \times a \:or\: (a)^{2} \:sq.units}}}$

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⠀⠀⠀⠀⠀Here a is the Side of Square in metres and here we have given with the values of Area of Square Board , Area of Square Board is 144 m² & Side of Square board (a) = x . So by , using the Formula we can calculate the Value of 'x'.

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⠀⠀⠀⠀$\underline {\sf{ \bf{Now \: By \: Substituting \:the \; Given \: Values \: : }}}$

⠀⠀⠀⠀$\implies { \sf{ (x)^{2} = 144\:m^{2}}}$

⠀⠀⠀⠀$\implies { \sf{ x = \sqrt{144}\:}}$

⠀⠀⠀⠀$\underline {\boxed{\pink{ \sf{ x = 12\:m}}}}$

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Therefore,

• Side of Square Board = x = 12 m

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⠀⠀⠀⠀⠀And , Now As we know that Side of Square Board and we have to find the Perimeter of Square Board by using the formula of Perimeter of Square that is ,

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⠀⠀⠀⠀⠀$\implies {\underline {\mathrm { Perimeter _{( Square)} = 4 \times a \:or\: 4a \:units}}}$

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⠀⠀⠀⠀⠀Here a is the Side of Square in metres and here we have findedvthe value of Side of Square of Board, Side of Square board = 12 m . So by using the Required formula for Perimeter of Square we can Find the 'Perimeter' of Square.

⠀⠀⠀⠀$\underline {\sf{\bf{ Now \: By \: Substituting \:the \; Given \: Values \: : }}}$

⠀⠀⠀⠀$\implies { \sf{ Perimeter _{(Square)} = 4 \times 12 }}$

⠀⠀⠀⠀$\underline {\boxed{\pink{ \frak{ Perimeter _{(Square)} = 48 \:m }}}}$

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⠀$\underline {\pink{ \frak{\therefore \: Hence ,\:The\:Perimeter\:of \:Square\:Board \:is\: 48 \:m }}}$

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