Question

A mason has to fit bathroom with square tiles of largest possible size. the size of bathroom is 10ft. by 8ft. what would be size in inches of the tiles required that has to cut and how many such tiles are required?

Answer 1

Size of bathroom =10ft. by 8ft. Thus the no. of tiles required is 24.

Answer 2

Given:

Size of bathroom = 10 ft. by 8 ft.

= (10 x 12) inch by (8 x 12) inch [conversion from ft. to inch.]

= 120 inch by 96 inch

Now, the largest size of tile required will be the HCF of 120 and 96.

Let's Solve:

So, Applying Euclid’s division lemma

We get,

120 = 96 x 1 + 24

96 = 24 x 4 + 0

⇒ HCF = 24

Thus, we can conclude that the largest size of tile which required is 24 inches

And,

Number of tiles required = (area of bathroom) / (area of a tile)

= (120 x 96) / (24x24)

= 5 x 4

= 20 tiles

Therefore, 20 tiles each of size 24inch by 24inch are required to be cut.

$\fbox \blue{Thanks}$