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?

Answer 1

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`