Question. Rectangular tile each of size 60cm by 56cm must be laid horizontally on a rectangular floor of size 560cm by 240cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Options:
(A) 50
(B) 54
(C) 47
(D) 40
(E) 45
Answer. (D)
What step-by-step reasoning justifies that answer?
Reasoning: Area of tile = 60*56 = 3360
Area of floor = 560*240 = 134400
No of tiles = 134400/3360 = 40
So, the no of tile = 40