a floor which measures 15mx8m to be laid with tiles measuring 50cm by 25cm find the number of tiles required further if a carpet is laid on the floor so that a space of 1m Exists between its edges and the edges of the floor what fraction of the floor is uncovered
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Step-by-step explanation:
We know, 50cm=0.5m and
25cm=0.25m
Tiles along the length of the room=
0.5
15
= 30 tiles
Tiles along the length of the room=
0.25
8
=32 tiles
Total number of tiles required =30×32 =960 tiles
To leave 1m between the carpet and wall on all sides, the carpet needs to be 2m shorter in each dimension.
Therefore,
(15−2)m(8−2)m
=(13×6)m
=78m
2
Therefore, the room area is 15×8 = 120m
2
The carpet area is 78m
2
The fraction of the area uncovered =
120
120−78
=
120/42
=
20/7
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