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Question
A floor that measures 15 m x 8 m is to be laid with tiles measuring 50 cm x 25 cm. Find the number of tiles required.
Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges and the edges of the floor, what fraction of the floor is left uncovered?
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Solution
Area of the floor = 15 m x 8 m
Area of one tiles = 50 cm x 25 cm
Number of tiles required
n = `"Area of floor"/"Area of tiles"`
= `(15xx8xx100xx100)/(50xx25)`
= 120 x 8
= 960 tiles
Area of carpet uncovered = 2( 1 x 15 + 1 x 6 ) = 42 sq.m
Fraction of floor uncovered = `42/120 = 7/20`
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