Question

A square floor is covered by a number of whole rectangular tiles of sides 54 cm by 30 cm such that a uniform margin of width 6 cm is left on a round the floor. calculate the least possible area of the floor giving me answer in square metres.​

Answer 1

Answer: 7.9524 m^

Explanation:

The square with the least area can only be formed when we take LCM of the dimensions of the rectangular tile I.e. 54 CM × 30 CM

LCM = 270

This means that a square of length 270 CM will be formed when we take least no. of tiles.

Also given in question, 6cm is left around the square that means 12cm is added on every side to make the floor with minimum area = 282 × 282 cm^2

minimum area = 79524 cm^

in m^2 = 79524/10000 = 7.9524 m^