QUESTION

CSAT

Easy

Maths

Prelims 2023

A rectangular floor measures 4 m in length and 2.2m in breadth. Tiles of size 140 cm by 60 cm have to be laid such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. What is the maximum number of tiles that can be accommodated on the floor?

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Explanation

Length of the rectangular floor = $4$ m = $400$ cm Breadth of the floor = $2.2$ m = $220$ cm

Diagram

No matter how we arrange the given tiles, we cannot arrange more than 8 tiles on the given floor. The two possible arrangements of tiles have been depicted below: