What will be the length of the longest rod which can be put on the floor of a rectangle room measuring 12 m in length and 5 m brea

2 thoughts on “What will be the length of the longest rod which can be put on the floor of a rectangle room measuring 12 m in length and 5 m brea”

1. Answer:

   The length of longest road which can be placed in a room of length 12m and 5m is 12m (option d)

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2. Given :

   • Dimensions of a rectangular room :-

   • Length of the room = 12 m
   • Breadth of the room = 5 m

   To find :

   • Length of the longest rod which can be put on the floor of the rectangular room

   Solution :

   ★ Formula to calculate the length of the longest rod which can be put on the floor = Diagonal of the floor :-

   [tex]\large{\boxed{\bf{\pink{Diagonal~ of ~rectangle = \sqrt{l^2 + b^2}}}}}[/tex]

   where,

   • l denotes the length

   • b denotes the breadth

   Substituting the given values :-

   [tex]\implies \sf Diagonal = \sqrt{(12)^2 + (5)^2}[/tex]

   [tex]\implies \sf Diagonal = \sqrt{144 + 25}[/tex]

   [tex]\implies \sf Diagonal = \sqrt{169}[/tex]

   [tex]\implies \sf Diagonal = \sqrt{13 \times 13}[/tex]

   [tex]\implies \sf Diagonal = \pm 13[/tex]

   As we know, the length of diagonal cannot be negative. So, the negative sign will get rejected.

   [tex]\implies \sf Diagonal = \pm 13 Reject ~ -ve[/tex]

   [tex]\implies \sf Diagonal = 13[/tex]

   Therefore, the length of the longest which can be put in a room measuring 12 m in length and 5 m breadth is 13 m

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