Question

Having a square bedroom with 5 mtrs as the length of the diagonal, compute for the number of 300mmx 300mm floor tile.. can you answer this question? :) thnx!!~

Answer 1

If the room is square the diagonal will cut it into 2 right triangles. Each triangle has 2 45 degree angle and a 90 degree angle.
Therefore, the diagonal is the hypotenuse of the triangle.

Answer 2

Do you understand so far?

Answer 3

With a right triangle you can find the sides of the triangle using trigonometric identities. Let us use sine. \[Sin \theta=\frac{ opposite }{ hypotenuse }\]

Answer 4

Sine 45 = x/5
\[x=5\frac{\sqrt{2} }{ 2 }\]
Convert the tiles sizes from mm to meter makes it 0.03mmx0.03mm
It would take x/0.03 =117.85 300mm x 300mm tiles to cover the width of the room and also the length. round 117.85 to 118 tiles
To find the number of tiles 118*118 = 13924 tiles

Answer 5

Any questions?

Answer 6

I made a mistake replace 0.03m with 0.3 instead.

Answer 7

300mm = 0.3m

Answer 8

you should get 11.79, round up to 12 tiles to cover the width of the room.
the length is also 12: therefore it would take 12*12 = 144 tiles

Answer 9

Sorry about the computation error. Apart from that do you see how i got the answer?

Answer 10

Yes, It is a reasonable answer...