Question

what will be the size largest square tile that can be used for the flooring without cutting any tile for rectangular hall of size 24m ×15m?​

Answer 1

Given:

rectangular hall of size 24m ×15m.

To find:

size largest square tile.

Solution:

1) In this question we will find the largest size of the square tile which ultimately means that we have to find the HCF of the given measurement of the rectangle.

2) Length is 24 m and breadth is 15 m

3) HCF(24,15) is calculated by the prime factorization.

• 24= 2×2×2×3

• 15= 3×5

• HCF(24,15) is 3.

Hence the size of the square tile must be 3 m.