Question

Question 5 A flooring tile has
the shape of a parallelogram
whose base is 24 cm and the
corresponding height is 10 cm.
How many such tiles are
required to cover a floor of
area 1320 square meter

please give explanation ​

Answer 1

Given:

✰ A flooring tile has the shape of a parallelogram.

✰ Base of a parallelogram = 24 cm

✰ Corresponding height of a parallelogram = 10 cm

✰ Area of floor = 1320 m²

To find:

✠ How many tiles are required to cover a floor.

Solution:

Let's understand the concept first! First we will find the area of the parallelogram that is the area of the flooring tile, which is in the shape of parallelogram by using the formula to calculate the area of a parallelogram. Then we are already provided with the area of the floor. After that we will divide the area of the floor by the area of the flooring tile to find out how many tiles are required to cover a floor.

Let's find out...✧

✭ Area of parallelogram = base × height ✭

( As a flooring tile has the shape of a parallelogram )

Putting the values in the formula, we have:

➛ Area of a tile = 24 × 10

➛ Area of a tile = 240 cm²

➛ Area of floor = 1320 m²

While doing calculations, the nature of the units should be same. They should either be in centimetre or in metres, so we will change the area of tile into metres to make the unit same and to get the right answer.

➛ 1 m² = 100 × 100 cm²

➛ 1 cm² = 10000 cm²

➛ 1320 cm² = 1320 × 10000 cm²

➛ Area of floor = 13200000 cm²

Now,

➤ Number of tiles = Area of floor/Area of tile

➤ Number of tiles = 13200000/240

➤ Number of tiles = 660000/12

➤ Number of tiles = 55,000

∴ 55,000 tiles are required to cover a floor.

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