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

Given, Length of the floor of a room = 5 m

Breadth of the floor of a room = 3 m

Area of the room = Length × Breadth

= 5 × 3 = 15 m²

∵ Area of 1 title = `1/16` m²

∴ Area of 40 tiles = `1/16 xx 40` = 2.5 m²

Area covered by tiles = 2.5 m²

Area not covered by tiles = (15 – 2.5) = 12.5 m²

Ratio of the tiled to non-tiled portion = `(2.5  m^2)/(12.5  m^2) = 25/125 = 1/5` = 1.5