Question

a function hall is 260 m long and 120 m wide .find the largest side of square tilles that can be used to cover the total area of the floor​

Answer 1

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Convert the dimensions to cm - 506 x 374

You need to find the largest tile that will fit evenly in both dimensions, so you just need to find the Greatest Common Factor between 506 and 374

The prime factorization of 506 is: 2 * 11 * 23

The prime factorization of 374 is: 2 * 11 * 18

So the greatest common factor is 2 *11 or 22. The largest square tile that can be used is 22 cm2