Question

Сколько потребуется квадратных плиток со стороной 5 дециметров для облицовки пола длиной 6 метров и шириной 5 метров

Answer 1

6 * 5 = 30 м² площадь пола
5 дм = 0.5 м
0.5 * 0.5 = 0.25 м² площадь плитки
30 \ 0.25 = 120 плиток потребуется

Answer 2

Calculating the Number of Tiles Needed

To calculate the number of square tiles needed to cover a floor with the given dimensions, we can use the formula:

Number of tiles = (Area of the floor) / (Area of one tile)

The area of the floor can be calculated by multiplying the length and width of the floor.

The area of one tile is the square of its side length.

Given: - Side length of each tile = 5 decimeters - Length of the floor = 6 meters - Width of the floor = 5 meters

Calculating the Area of the Floor

The area of the floor can be calculated using the formula: Area = Length × Width

Substituting the given values: Area = 6 meters × 5 meters

Converting Units

To ensure uniform units, we need to convert the area of the floor to square decimeters, as the area of one tile is given in square decimeters.

1 meter = 10 decimeters So, the area of the floor in square decimeters is: Area = (6 meters × 10 decimeters/meter) × (5 meters × 10 decimeters/meter)

Calculating the Area of One Tile

The area of one tile can be calculated using the formula: Area of one tile = (Side length)²

Substituting the given value: Area of one tile = (5 decimeters)²

Calculating the Number of Tiles

Now, we can use the formula to calculate the number of tiles needed: Number of tiles = (Area of the floor) / (Area of one tile)

Substitute the calculated values to find the number of tiles needed.

Result

The number of square tiles needed to cover the floor with the given dimensions is approximately 1200.