Question

the rectangular floor of a room is 15cm long and 8cm wide . what is the length of the diagonal of the room


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Answer 1

Given :

Length of the rectangular floor of room = 15 cm

Width of the rectangular floor of room = 8 cm

To Find :

The length of diagonal of room

Solution :

The diagonal of a rectangle when it's length and breadth are given is given by ,

$\\ \star \: {\boxed{\red{\sf{(Diagonal)^2 = (Length)^2 + (width)^2}}}}$

We have ,

Length = 15 cm

Width = 8 cm

Substituting the values ;

$\\ : \implies \sf \:(Diagonal)^2 = {(15 \: cm)}^{2} + {(8 \: cm)}^{2}$

$\\ : \implies \sf \:(Diagonal)^2 = 225 \: {cm}^{2} + 64 \: {cm}^{2}$

$\\ : \implies \sf \:(Diagonal)^2 =289 \: {cm}^{2}$

$\\ : \implies \sf \:Diagonal = \sqrt{289 \: {cm}^{2} }$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{\: Diagonal= 17 \: cm}}}}} \: \bigstar$

Hence ,

The length of the diagonal is 17 cm.

Answer 2

Answer:

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