Question

the rectangular floor of a room is 12 metre long and 5 metre wide what is the length of a diagonal​

Answer 1

Explanation:

length of room = 12m

breath of room = 5m

diognal = √(12)²+(5)²

= √144+25

= √169

= 13m ans

Answer 2

The length of the diagonal of rectangular is 13 m.

Explanation:

As we know that the sides of a rectangle are at $90^{o}$ with each other. So, sides of the rectangle are given.

GIven:

                      Length of the rectangle 'l' = 12 m

                       Width of the rectangle 'w' = 5 m

These two sides are perpensicular with each other. So, with the diagonal, a right angle triangle is formed. Where, the diagonal is the hypotenuse.

Using pythagoras theorm,

                                     ⇒ $h^{2} = l^{2} + w^{2}$

                                     ⇒ $h^{2} = 12^{2} + 5^{2}$

                                     ⇒ h = $\sqrt{144 + 25}$

                                     ⇒ h =  $\sqrt{169}$

                                     ⇒ h = 13 m