Step 1: Convert the dimensions of the floor into the same units. Here, we convert meters to centimeters because the smaller unit will give us a more accurate result. So, the dimensions of the floor are 340 cm and 520 cm.

Step 2: Find the greatest common divisor (GCD) of the two dimensions. This will give us the side length of the square tile that will fit perfectly on the floor without leaving any space. The GCD of 340 and 520 is 20 cm.

Step 3: Calculate the area of the floor and the area of one tile. The area of the floor is 340 cm * 520 cm = 176800 cm². The area of one tile is 20 cm * 20 cm = 400 cm².

Step 4: Divide the total area of the floor by the area of one tile to find the number of tiles needed. So, 176800 cm² / 400 cm² = 442 tiles.

Therefore, a minimum of 442 square tiles are required to cover the floor.

Question

Step 1: Convert the dimensions of the floor into the same units. Here, we convert meters to centimeters because the smaller unit will give us a more accurate result. So, the dimensions of the floor are 340 cm and 520 cm.

Step 2: Find the greatest common divisor (GCD) of the two dimensions. This will give us the side length of the square tile that will fit perfectly on the floor without leaving any space. The GCD of 340 and 520 is 20 cm.

Step 3: Calculate the area of the floor and the area of one tile. The area of the floor is 340 cm * 520 cm = 176800 cm². The area of one tile is 20 cm * 20 cm = 400 cm².

Step 4: Divide the total area of the floor by the area of one tile to find the number of tiles needed. So, 176800 cm² / 400 cm² = 442 tiles.

Therefore, a minimum of 442 square tiles are required to cover the floor.

Knowee AI · Accepted Answer

Step 1: Convert the dimensions of the floor into the same units. Here, we convert meters to centimeters because the smaller unit will give us a more accurate result. So, the dimensions of the floor are 340 cm and 520 cm.

Step 2: Find the greatest common divisor (GCD) of the two dimensions. This will give us the side length of the square tile that will fit perfectly on the floor without leaving any space. The GCD of 340 and 520 is 20 cm.

Step 3: Calculate the area of the floor and the area of one tile. The area of the floor is 340 cm * 520 cm = 176800 cm². The area of one tile is 20 cm * 20 cm = 400 cm².

Step 4: Divide the total area of the floor by the area of one tile to find the number of tiles needed. So, 176800 cm² / 400 cm² = 442 tiles.

Therefore, a minimum of 442 square tiles are required to cover the floor.

A rectangular floor of dimensions 3m 40cm and 5m 20cm is to be covered with identical square tiles. Find the minimum number of square tiles required

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