Question

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 breadth?
Options
13 m m
14 m
O 15 m
12 m​

Answer 1

Answer:

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

Answer 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 :-

$\large{\boxed{\bf{\pink{Diagonal~ of ~rectangle = \sqrt{l^2 + b^2}}}}}$

where,

• l denotes the length

• b denotes the breadth

Substituting the given values :-

$\implies \sf Diagonal = \sqrt{(12)^2 + (5)^2}$

$\implies \sf Diagonal = \sqrt{144 + 25}$

$\implies \sf Diagonal = \sqrt{169}$

$\implies \sf Diagonal = \sqrt{13 \times 13}$

$\implies \sf Diagonal = \pm 13$

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

$\implies \sf Diagonal = \pm 13 Reject ~ -ve$

$\implies \sf Diagonal = 13$

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