Question

A room is $13.6$ m long and $6.4$ m wide. It is to be paved with square marble tiles each of side $80$ cm. How many marble tiles will be required?

Answer 1

To find the total no. of marble tiles required to pave the entire room, we need to divide the total area of the room by area of one marble tile.

Since, the room is a rectangle with length 13.6m and width 6.4m, the total area of the room is, (area of a rectangle = length x width),

$13.6m\times 6.4m=87.04m^2$

One marble tile is a square of side 80cm, i.e, 0.8m(1cm = 0.01m)

(Area of a square with side 'a' = $a^2$)

So, the area of one marble tile is = $(0.8m{)}^2=0.64m^2$

Therefore, total no of marble tiles required = $\frac{Areaoftheroom}{Areaofonemarbletile}$ = $\frac{87.04m^2}{0.64m^2}=136$.