The least number of square tiles that will be neede to pave a plot 225 m by 30 m is ______

a.30 tiles

b. 15

c. 25

d. 45

Question

The least number of square tiles that will be neede to pave a
plot 225 m by 30 m is ______
a 30 tiles
b 15
c 25
d 45

Pronay · Accepted Answer

The side of the square tile must be a factor of both $225$ and $30$ , so that no tile needs to be cut.

For least no. of tiles, the size of the tiles should be maximum.
So, the side of the square tiles must be the HCF of $225$ and $30$

$225 = 5^{2} \times 3^{2} 30 = 2 \times 5 \times 3 HCF=5 \times 3 = 15$

$Area of plot=225 \times 30 Area of tiles=15 \times 15 Number of tiles= \frac{area of plot}{area of tile} = \frac{225 \times 30}{15 \times 15} = 30 tiles$

Therefore option (a) is correct.

The least number of square tiles that will be neede to pave a plot 225 m by 30 m is ______ a.30 tiles b. 15 c. 25 d. 45

The least number of square tiles that will be neede to pave a plot 225 m by 30 m is ______

a.30 tiles

b. 15

c. 25

d. 45