Question

Length and breadth of the floor of a room are 5 m and 3 m, respectively. forty tiles, each with area `1/16` m² are used to cover the floor partially. Find the ratio of the tiled and the non tiled portion of the floor.

Answer 1

The total area of the floor = 5 m × 3 m = 15 m²

The area covered with tiles = `40 xx 1/16 m^2 = 5/2 m^2`

∴ The non tiled area = `[15 - 5/2] m^2`

= `[(30 - 5)/2] m^2`

= `25/2 m^2`

∴ The required ratio = `("Tiled area")/("Non tiled area")`

= `(5/2 m^2)/(25/2 m^2)`

= `5/2 xx 2/25` 

= `1/5`

= 1 : 5