Question

A (4m \times 6m) floor is to be covered uniformly with identical square tiles. What should be the size of each tile, so that they fit the floor exactly?

• A. (4m x 4m)
• B. (3m x 3m)
• C. (2m x 2m)
• D. (6m x 6m)

Answer 1

The correct option is C (2m x 2m)

Area of the floor :- $(4\times 6)m^2\frac{\text{/}4\times 6}{4\times \text{/}4}=\frac{6}{4}=\frac{3}{2}\to Thisdoesnotfitexactly\frac{4\times \text{/}{6}^2}{\text{/}{3}_1\times 3}=\frac{8}{3}\to Thisdoesnotfitexactly\frac{\text{/}{4}^2\times \text{/}{6}^3}{\text{/}4\times \text{/}4}=6\to Thisfitsinexactly\frac{4\times \text{/}6}{\text{/}6\times 6}=\frac{2}{3}\to Thisdoesnotfitexactly.$