Question

A rectangle is 81 m long and 36 m y.find the side of a square whose area is equal to the area of this rectangle.

pls find the solution.​

Answer 1

Step-by-step explanation:

Given

Breadth of Rectangle = 36 m

Length of Rectangle = 81 m

As we know that,

{\boxed{\sf\:{Area\;of\;Rectangle = Length\times Breadth}}}

AreaofRectangle=Length×Breadth

Area of Rectangle = 81m × 36m

Area of Rectangle = 2916m²

Now

Given,

{\boxed{\sf\:{Area\;of\;Rectangle = Area\;of\; Square}}}

AreaofRectangle=AreaofSquare

Area of Square = 2916m²

As we know that,

Area of Square = (Side)²

2916 = (a)²

√2916 = a

54 = a

Side = 54m

Hence we get,

{Side\;of\;Square = 54m}}

SideofSquare = 54m

Answer 2

$\huge \fbox{Answer}$

$\large \underline{ \underline {\red{\frak{Given::}}}}$

${ \mapsto {\sf{Area_{(rectangle)}=Area_{(square)}}}}$

$\mapsto \sf{Length \: of \: rectangle=81m}$

$\mapsto \sf{Breadth \: of \: rectangle=36m}$

$\large \underline{ \underline {\red{\frak{ \color{grey}To \: find::}}}}$

$\sf \leadsto{Side \: of \: square. }$

$\large \underline{ \underline {\pink{\frak{Formula \: required::}}}}$

${ \star {\boxed{\rm{Area_{(rectangle)}=length + breadth}}}} \star$

${ \star {\boxed{\rm{Side \: of \: square=\sqrt{ Area \: of \: square}}}}} \star$

$\large \underline{ \underline {\red{\frak{ \color{peru}According \: to \: Question::}}}}$

${ \implies {{\sf{Area _{(rectangle)}=length ×breadth}}}}$

${ \implies {{\sf{Area_{(rectangle)}=81m ×36m}}}}$  

${ \implies {{\sf{Area_{(rectangle)}=2,916m^{2} }}}}$

${ \implies {\sf{Area_{(rectangle)}=Area_{(square)}}}}$

${ \implies {\sf{Area_{(square)}=2,916m²}}}$

${ \implies{{\sf{Side \: of \: square= \sqrt{2,916m²} } }}}}$

$\implies{\sf{Side \: of \: square={\sqrt{2.916m²}} = 54m}}}$}

$\large \underline{ \underline {\blue{\frak{Hence,}}}}$

$\rightarrow{ \fbox{{\rm{Side \: of \: square = 54m}}}}$

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