To solve this problem, we first need to find the greatest common divisor (GCD) of the length and width of the floor, which will give us the side length of the square tile.

1. Convert the dimensions of the floor to the same units. In this case, we convert meters to centimeters: 3m 60cm = 360cm and 5m 40cm = 540cm.

2. Find the GCD of 360cm and 540cm. The GCD is 180cm. This means the side length of each square tile is 180cm.

3. Divide the total area of the floor by the area of one tile to find the number of tiles needed. The area of the floor is 360cm * 540cm = 194400 square cm. The area of one tile is 180cm * 180cm = 32400 square cm.

4. So, the number of tiles needed is 194400/32400 = 6 tiles.

Therefore, the minimum number of square tiles required to cover the floor is 6 (option a).

Question

To solve this problem, we first need to find the greatest common divisor (GCD) of the length and width of the floor, which will give us the side length of the square tile.

1. Convert the dimensions of the floor to the same units. In this case, we convert meters to centimeters: 3m 60cm = 360cm and 5m 40cm = 540cm.

2. Find the GCD of 360cm and 540cm. The GCD is 180cm. This means the side length of each square tile is 180cm.

3. Divide the total area of the floor by the area of one tile to find the number of tiles needed. The area of the floor is 360cm * 540cm = 194400 square cm. The area of one tile is 180cm * 180cm = 32400 square cm.

4. So, the number of tiles needed is 194400/32400 = 6 tiles.

Therefore, the minimum number of square tiles required to cover the floor is 6 (option a).

Knowee AI · Accepted Answer

To solve this problem, we first need to find the greatest common divisor (GCD) of the length and width of the floor, which will give us the side length of the square tile.

1. Convert the dimensions of the floor to the same units. In this case, we convert meters to centimeters: 3m 60cm = 360cm and 5m 40cm = 540cm.

2. Find the GCD of 360cm and 540cm. The GCD is 180cm. This means the side length of each square tile is 180cm.

3. Divide the total area of the floor by the area of one tile to find the number of tiles needed. The area of the floor is 360cm * 540cm = 194400 square cm. The area of one tile is 180cm * 180cm = 32400 square cm.

4. So, the number of tiles needed is 194400/32400 = 6 tiles.

Therefore, the minimum number of square tiles required to cover the floor is 6 (option a).

A rectangular floor of dimensions 3m 60cm and 5m 40cm is to be covered with identical square tiles. Find the minimum number of square tiles required.a.6b.60c.24d.12

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