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Question

Question 88

Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area 116m2 are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.

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Solution

Given, length of the floor of a room = 5m
Breadth of the floor of a room = 3m
Area of the room = Length × Breadth
=5×3=15m2
Area of 1 tile=116m2
Area of 40 tiles=116×40=2.5m2
Area covered by tiles =2.5m2
Area not covered by tiles =(152.5)=12.5m2
Ratio of the tiled to non-tiled portion

= Area of tiled portionArea of non-tiled portion
= 2.5m212.5m2=25125=15=1:5

Hence, the ratio of the tiled to the non-tiled portion of the floor is 1 : 5.


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