Question

Дно бассейна имеет форму прямоугольника,длина которого в 5 раз больше его ширины,а ширина на 200м меньше длины.Сколько квадратных керамических плиток со стороной 20см потребуется,чтобы покрыть дно этого бассейна

Answer 1

х - ширина

5х - длина

5х-х=200

4х=200

х=50 (м) - ширина

5*50=250 (м) = длина

250*5=1250 (м²) = 12500000 (см²) - площадь дна

20*20=400 (см²) - площадь одной плитки

12500000:400=32250 (штук)

..........................................................................................................................

Answer 2

5x-x=200

4x=200

x=200:4

x=50 Это ширина

50+200=250 длина

S=250*50=12500м

S=20*20=400см=4м

12500:4=3125 плиток понадобиться

 

Answer 3

Calculation of the Number of Ceramic Tiles Needed to Cover the Bottom of the Pool

To calculate the number of ceramic tiles needed to cover the bottom of the pool, we need to determine the dimensions of the pool and then calculate the total area that needs to be covered.

Given: - The length of the pool is 5 times greater than its width. - The width of the pool is 200 meters less than its length. - The side length of each ceramic tile is 20 centimeters.

Let's calculate the dimensions of the pool:

Let's assume the width of the pool is x meters.

According to the given information, the length of the pool is 5 times greater than its width. Therefore, the length of the pool is 5x meters.

The width of the pool is 200 meters less than its length. So, we can write the equation:

5x - 200 = x

Simplifying the equation, we get:

4x = 200

Solving for x, we find:

x = 50

Therefore, the width of the pool is 50 meters, and the length of the pool is 5 times greater, which is 250 meters.

Now, let's calculate the area of the pool:

The area of a rectangle is calculated by multiplying its length by its width. Therefore, the area of the pool is:

Area = Length x Width = 250m x 50m = 12,500 square meters

To calculate the number of ceramic tiles needed to cover the bottom of the pool, we need to convert the area into square centimeters to match the unit of the tile's side length.

1 square meter is equal to 10,000 square centimeters. Therefore, the area of the pool in square centimeters is:

Area = 12,500m² x 10,000cm²/m² = 125,000,000 square centimeters

Now, let's calculate the number of ceramic tiles needed:

The area of each ceramic tile is 20cm x 20cm = 400 square centimeters.

To find the number of tiles needed, we divide the total area of the pool by the area of each tile:

Number of Tiles = Area of Pool / Area of Each Tile

Number of Tiles = 125,000,000 square centimeters / 400 square centimeters

Simplifying the equation, we find:

Number of Tiles = 312,500

Therefore, you will need approximately 312,500 ceramic tiles with a side length of 20 centimeters to cover the bottom of the pool.

Please note that this calculation assumes that there are no irregularities or obstacles on the pool's bottom that would require additional adjustments in the number of tiles needed.