THE LENGTH OF A RECTANGULAR FLOOR IS 20M,MORE THAN ITS BREADTH. IF THE PERIMETER OF THE FLOOR IS 280M,WHAT IS ITS LENGTH?​

2 thoughts on “THE LENGTH OF A RECTANGULAR FLOOR IS 20M,MORE THAN ITS BREADTH. IF THE PERIMETER OF THE FLOOR IS 280M,WHAT IS ITS LENGTH?​”

1. Answer:

   let x be the breadth

   then length is x+20

   so, 2(l+b)= perimeter of floor

   now, 2(x+20+x)=280

   2x+20=140

   2x=120

   x=60

   therefore length is x+20= 60+20=80

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2. ❍ Let’s say, that the breadth of the floor be x and the length of the floor is 20m more than it’s breadth, therefore, the length be (x + 20) respectively.

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   [tex]\underline{\bf{\dag}\frak{\;As\;we\;know\;that:}}[/tex]

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   [tex]\star\;\boxed{\pink{\sf{Perimeter\;_{(rectangle)}=2(Length+Breadth)}}}[/tex]

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   Therefore,

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   [tex]:\implies\sf{2[(x+20)+x]=280}\\\\\\\\:\implies\sf{2(2x+20)=280}\\\\\\\\:\implies\sf{4x+40=280}\\\\\\\\:\implies\sf{4x=280-40}\\\\\\\\:\implies\sf{4x=240}\\\\\\\\:\implies\sf{x=\cancel{\dfrac{240}{4}}}\\\\\\\\:\implies\underline{\boxed{\frak{\purple{x=60\;m}}}}{\;\bigstar}[/tex]

   ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

   Hence,

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   • Length of the floor = (x + 20) = (60 + 20) = 80m
   • Breadth of the floor = x = 60m

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   [tex]\therefore\;{\underline{\sf{Hence,\;its\;length\;is\;{\textsf{\textbf{80\;m}}}}.}}[/tex]

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   Reply