Question

A hall 50m long and 45m broad is to be paved with square tiles . find the largest tile as well as it no. in given options  . so that tile exactly fit in the hall..1.36sq.mt and 80tiles
2.  25sqmt. and 90tiles 
3.16 sq mt. and 80tiles
4. 36 sqmt. and 90tiles

Answer 1

Answer:

The largest tile is 25 $\bold{m^2}$ and No. of tiles is 90 tiles.

Given:

Hall long, l = 50 m

Hall broad, b = 45 m

To find:

Largest tile and No. of tiles.

Solution:

H.C.F of the hall “length” and “breadth” is

$50=2 \times 5 \times 5$

$45=3 \times 3 \times 5$

And the H.C.F of the numbers 45 and 50 is 5

The H.C.F of the “length and breadth” is the side of the square tile.

Therefore, the square tile area is $=5 \times 5=25 \ m^{2}$

$\text{No. of tile} =\frac{\text {Area of the ractangle}}{\text {Area of the square tile}}$

$=\frac{50 \times 45}{25}$

$=\frac{2250}{25}$

$\text{No. of tile} = 90 \ \text{tiles}$