Question

How many tiles of length 10cm and breadth 6cm respectively will be required to fit in a rectangular floor whose length and breadth are 4m
and 300cm, respectively​

Answer 1

★QuestioN :

✳ How many tiles of length 10cm and breadth 6cm respectively will be required to fit in a rectangular floor whose length and breadth are 4m and 300cm, respectively​.

★GiveN :

• Length = 10cm
• Breadth = 6 cm
• Rectangular floor length and breadth are = 4m and 300 cm

★To FiNd :

• How many tiles should be required to fit a rectangular floor

★Formula :

• Area of rectangle = length × breadth

★ANswer :

✦2000 tiles should be required to fit a rectangular floor.

★SolutioN :

1m = 100cm [ 1 × 100 = 100 ]

4m = 400cm [ 4 × 100 = 400 ]

Now,

Using formula :

Area of Rectangle = Length × Breadth

Area of Rectangle = 400 × 300

Area of Rectangle = 120000 cm²

let's, find one tile area

Using formula :

Area of Rectangle = Length × Breadth

Area of Rectangle = 10 × 6

Area of Rectangle = 60 cm²

So, let's find the required to fit a rectangular floor.

By dividing the  Rectangular Floor and one tile area.

[ 120000 ÷ 60 = 2000 ]

∴Hence, 2000 tiles should be required to fit a rectangular floor.

Answer 2

Required Answer :

$\large\sf{{{{Given}}}}$

• One tile with Length 10 cm and Breadth 6 cm

• A Rectangular Floor with Length 4 m and Breadth 300 cm

$\large\sf{{{{To \: \: Find}}}}$

• Tiles required to fit in the Rectangular Floor

$\large\sf{{{{Formula \: Used }}}}$

• Area of Rectangle = Length × Breadth

$\large\sf{{{{Solution}}}}$

To find the number of tiles required to fit in the Rectangular Floor, we need to first convert the Length of the Rectangular Floor as it's in metres and the Breadth is in centimetres, so we will convert the Length of the Rectangular Floor into centimetres first, now let's do it!

As we know that, 1 m = 100 cm

So, 4 m = 400 cm ( 4 × 100 = 400 )

Hence, Converted

Now we have to find out the area of both, the Rectangular Floor and the tile ( one tile ) and then we will divide both the areas to find out the number of tiles required to fit in the Rectangular Floor, so let's do it!

Solve for the Rectangular Floor :

Area of Rectangle = Length × Breadth

Area of Rectangle = 400 × 300

Area of Rectangle = 120000 cm²

Solve for One Tile :

Area of Rectangle = Length × Breadth

Area of Rectangle = 10 × 6

Area of Rectangle = 60 cm²

Hence, Area of the Rectangular Floor is 120000 cm² and Area of One Tile is 60 cm², now let's divide both the areas!

120000 ÷ 60 = 2000

∴ 2000 tiles are required to fit in the Rectangular Floor

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Additional Information :

$\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}$

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