Question

The floor of Manu's drawing-room is 306 inches long and 136 inches wide. He wishes to tile the floor with identical square tiles. Find the minimum number of tiles that he can use.​

Answer 1

Answer:

The number of tiles needed to cover the file Area of room) Area of square tiles

Step by step explanation:

Length of the Manu’s drawing room = 306 inches

Breadth of the Manu’s drawing room = 136 inches

→Area of the drawing room= Length × breadth

→Area= 306×106 inches²

32436 inches²

To find the number of tiles to be covered = Area of room/ Area of square tiles

Answer 2

Given,

It is given that, all tiles are identical .

To find:-

minimum number of tiles are used to tile the floor = ?

Solution:-

Length of the room = 306 inches .

Breadth or width of the room = 136 inches .

The H.C.F of 306 inches and 136 inches will be size of square tiles .

So, size of square tiles = 34 inches .

Now,

Area of the room = (306×136) inches ²

And

Area of one tile = (34×34) inches ²

So,

$number \: of \: tile = \frac{306 \times 136}{34 \times 34} \\ = (9 \times 4) \\ = 36$

Hence, the minimum number of tiles that he can use is 36 .

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