Math, asked by priyamndl2008, 1 month ago

The area of rectangle yard is 91 m². If the length of the yard is 52/3 m, find its breadth.​

Answers

Answered by pramodpmohite
0

area ÷ length .hope it will help you

Answered by BrainlyRish
11

Given : The area of rectangle yard is 91 m². If the length of the yard is 52/3 m .

Exigency To Find : Breadth of Rectangle yard .

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's Consider the Breadth of Rectangle yard be x m .

\dag\:\:\frak{\underline { As ,\:We\:know\:that\::}}\\\\

\dag\:\:\boxed {\sf{ Area _{(Rectangle)} = \bigg( l \times b\bigg) }}\\

Where,

  • l is the Length of Rectangle yard & b is the Breadth of Rectangle yard & we have given with the area of Rectangle yard is 91 m ² .

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

\qquad:\implies \sf { 91 = \dfrac{52}{3} \times x }\\

\qquad:\implies \sf { \dfrac{91\times 3 }{52} =   x }\\

\qquad:\implies \sf { \cancel {\dfrac{273 }{52}}  =   x }\\

\qquad:\implies \bf { 5.25 m=   x }\\

Therefore,

⠀⠀⠀⠀⠀\therefore {\underline{ \mathrm {  Breadth \:of\:Rectangle \:is\:\bf{5.25\: m}}}}\\

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

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

\dag\:\:\frak{\underline { As ,\:We\:know\:that\::}}\\\\

\dag\:\:\boxed {\sf{ Area _{(Rectangle)} = \bigg( l \times b\bigg) }}\\

Where,

  • l is the Length of Rectangle yard & b is the Breadth of Rectangle yard & we have given with the area of Rectangle yard is 91 m ² .

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

\qquad:\implies \sf { 91 = \dfrac{52}{3} \times 5.25 }\\

\qquad:\implies \sf { 91 = \dfrac{273}{3}  }\\

\qquad:\implies \sf { 91 = \cancel {\dfrac{273}{3}}  }\\

\qquad:\implies \bf { 91m^2 = 91m^2  }\\

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

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Similar questions