Question

A man has to fit a bathroom with square tiles of largest possible size the size of the bathroom is 5 metre by 4 metre what would be the size of tiles required and how many such tiles are required

Answer 1

Answer:

ok go

Step-by-step explanation:

Answer 2

Answer:

24 tiles

Step-by-step explanation:

Given:-

Size of bathroom =10ft. by 8ft.

As we know that,

1 ft.=12 inches

Therefore,

Size of the bothroom =(10×12) inch by (8×12) inch= 120 inch by 96 inch

The largest size of tile required =HCF of 120 and 96

By applying Euclid’s division lemma

120=961+24

96=24×4+0

∴HCF=24

∴ Largest size of tile required =24 inches by 24 inches

Now,

No. of tiles required =

Area of tile

Area of bathroom

∴ No. of tiles required =

24×24

120×96

⇒ No. of tiles required =5×4=20 tiles

Thus the no. of tiles required is 24.

Hence the correct answer is 24 tiles.

Hope this answer helps