Question

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

Answer 1

Answer:

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.

Answer 2

Answer:

Largest size of tile required = 24 x 24 inches

Number of tiles required = 20 tiles

Step-by-step explanation:

Size of bathroom = 10ft by 8ft

In inches, the size = (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 = 96 × 1 + 24 96 = 24 × 4 + 0

HCF = 24

Largest size of tile required = 24 x 24 inches = 576 sq. inches.

Number of tiles required = 120 * 96 / 576 = 20 tiles

Explanation:

Largest size of tile required = 24 x 24 inches

Number of tiles required = 20 tiles

Step-by-step explanation:

Size of bathroom = 10ft by 8ft

In inches, the size = (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 = 96 × 1 + 24 96 = 24 × 4 + 0

HCF = 24

Largest size of tile required = 24 x 24 inches = 576 sq. inches.

Number of tiles required = 120 * 96 / 576 = 20 tiles

Step-by-step explanation:

Size of bathroom = 10ft by 8ft

In inches, the size = (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 = 96 × 1 + 24 96 = 24 × 4 + 0

HCF = 24

Largest size of tile required = 24 x 24 inches = 576 sq. inches.

Number of tiles required = 120 * 96 / 576 = 20 tiles