Question

Q-3 Mrs. Sinha wants to cover the floor of her kitchen with square tiles.
The length and breadth of the kitchen is 10 m and 4 m respectively. The
side of square tile is 50cm. Find the numbe
r of tiles needed.
tes
9 110%
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Answer 1

$\bf\purple{CorrecT\:QuestioN:-}$

Mr Sinha wants to cover the floor of her kitchen with square tiles. The length and breadth of the kitchen is 10 and 4 metre respectively. The side of square tiles is 50 cm. Find the total number of tiles​.

$\bf\maroon{AnsweR:-}$

Given :-

Length of the floor = 10 metre

Breadth of the floor = 4 metre

Side of the square tile = 50 cm

To Find :-

The number of tiles required for the floor.

Solution :-

Length & Breadth of the floor is given as 10 m and 4 m respectively.

Each side of the square tile = 50 cm.

At first we need to convert both these measures to same unit.

As we know,

$\huge{\color{\yellow{\boxed{\bf{\bigstar{1\:metre=100\:cm\bigstar}}}}}$

So length of the floor = 10 m = 10 × 100 cm = 1,000 cm.

Breadth of the floor = 4 m = 4 × 100 cm = 400 cm.

Area of the floor :-

Next we need to find the area of the floor .

Area of the floor = Length × Breadth

⇒ Length × breadth = area of the floor

⇒ 1,000 × 400 = 4,00,000 cm ²

Area of the tile:-

Area of the tile ( square ) = side ²

⇒ Area of the tile = side × side

⇒ Area = 50 cm × 50 cm = 2,500 cm²

$\longrightarrow\bf\green{No.\:of\:tiles\:required= \dfrac{Area\:of\floor}{Area\:of\:tile}$

$\longrightarrow\bf\red{No\:of\:tiles=\dfrac{4,00,000}{2,500}$

$\longrightarrow\large{\boxed{\bf\purple{No\:of\:tiles=160}}}}}$

Hence, the no. of tiles required = 160.

See this answer;

https://brainly.in/question/36598498

All Done !! ☺

Answer 2

Appropriate Question:-

⠀⠀

Mrs. Sinha wants to cover the floor of her kitchen with square tiles. The length and breadth of the kitchen is 10 m and 4 m respectively. The side of square tile is 50cm. Find the number of tiles

needed.

Given:-

• Length of Kitchen - 10m
• Breadth of Kitchen - 4m
• Side of Square Tile - 50cm

To find:-

• Number of Tiles needed to cover the Kitchen

⠀⠀

Formulae Used:-

• Area of Rectangle = Length × Breadth
• Area of Square = Side²

⠀⠀

Solution:-

We are given with the length & Breadth of Kitchen room that is 10cm & 4cm (approx.) and the tiles that are half-fitted in the Kitchen is 50cm . And We have to the Number of other tiles that are needed to cover. Let's Solve it.

As Side of Square is 50cm , So we have convert other Measures in Centimeters too to find the number of tiles.

⠀⠀

$\underline{\dag{\frak{\pink{~~As~we~know~that~}}}}$

⠀⠀

• 1 m = 100cm

So, 10 × 100 = 1,000cm

4 × 100 = 400cm

⠀⠀⠀⠀⠀⠀________________________________

Now, To find the area of floor of the kitchen, here's we will apply the Formula of Area of Rectangle.

⠀⠀

Now,

⠀⠀

Area of Rectangle = Length × Breadth

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= ⠀⠀1000 × 400

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ⠀⠀⠀4,00,000cm²

⠀⠀

Now, We have to find the area of Square (Tiles)

Area of Square = Side²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 50 × 50

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2500cm²

⠀⠀

Now, We have area of Kitchen and Area of tiles too so, we can find that how many tiles are requires.

⠀⠀

$\begin{gathered} \longrightarrow \sf \: No. \: of \: tiles \: required = \dfrac{Area \: of \: kitchen}{Area \: of \: Floor} \\\\\\ \longrightarrow \sf \: No. \: of \: tiles \: required = \dfrac{400000}{2500} \\ \\ \\ \longrightarrow \: \sf \:No. \: of \: tiles \: required = \frak\orange{160 \: tiles}\end{gathered}$

⠀⠀

$\therefore$ $\underline {\frak{~Hence,~There~are~160~tiles~required}}$