#### Question

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 1080 m^{2}?

#### Solution

Given:

Base of a flooring tile that is in the shape of a parallelogram = b = 24 cm

Corresponding height = h = 10 cm

Now, in a parallelogram:

Area(A) = Base (b) x Height (h)

\[ \therefore\text{ Area of a tile }= 24 cm \times 10 cm = 240 {cm}^2 \]

Now, observe that the area of the floor is 1080 \[m^2 . \]

\[1080 m^2 = 1080 \times 1m \times 1m\]

\[ = 1080 \times 100 cm \times 100 cm (\text{ Because }1 m = 100 cm)\]

\[ = 1080 \times 100 \times 100 \times cm \times cm\]

\[ = 10800000 {\text{ cm }}^2 \]

∴ Number of required tiles =\[ \frac{10800000}{240} = 45000\]

Base of a flooring tile that is in the shape of a parallelogram = b = 24 cm

Corresponding height = h = 10 cm

Now, in a parallelogram:

Area(A) = Base (b) x Height (h)

\[ \therefore\text{ Area of a tile }= 24 cm \times 10 cm = 240 {cm}^2 \]

Now, observe that the area of the floor is 1080 \[m^2 . \]

\[1080 m^2 = 1080 \times 1m \times 1m\]

\[ = 1080 \times 100 cm \times 100 cm (\text{ Because }1 m = 100 cm)\]

\[ = 1080 \times 100 \times 100 \times cm \times cm\]

\[ = 10800000 {\text{ cm }}^2 \]

∴ Number of required tiles =\[ \frac{10800000}{240} = 45000\]

Hence, we need 45000 tiles to cover the floor.

Is there an error in this question or solution?

Advertisement

#### APPEARS IN

Advertisement

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 1080 M2? Concept: Area of a Polygon.

Advertisement