Question

Ankit wants to cover the floor of a room which is 10 metre long and 5 metre wide with square tiles side of each square tile is 0.5 metre then find the number of tiles required to cover the floor of the room ​

Answer 1

Answer:

The answer is 200 tiles

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Answer 2

Given :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Ankit wants to cover the floor of a room which is 10 metre long and 5 metre wide with square tiles side of each square tile is 0.5 metre.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

To find :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The number of tiles required to cover the floor of a room.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\star\;{\boxed{\sf{\pink{Area_{\;(rectangle)} = length × breath }}}}$

$\star\;{\boxed{\sf{\pink{Area_{\;(square)} = side × side }}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

${\underline{\sf{\bigstar\: According\:to\:the\:question\::}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf Area \ of \ rectangular \ room = length × breath$

$:\implies\sf (10×5) m² = 50 m²$

$:\implies\sf Area \ of \ one \ square \ tile = side × side$

$:\implies\sf 0.5 × 0.5 = 0.25 m²$

$:\implies\sf Number \ of \ tiles \ required \ = \dfrac{Area \ of \ the \ floor}{Area \ of \ one \ tile}$

$:\implies\sf \dfrac{50 m²}{0.25 m²}$⠀⠀

$:\implies\sf \dfrac{5000}{25}$⠀⠀

$:\implies{\underline{\boxed{\frak{\purple{200 \: tiles}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;number\;of\;tiles\;is\; \bf{200}.}}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━

$\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\pink{\bigstar\: More\:to\:know :}}}}}\mid}$

• Area of rectangle = length × breadth

• Area of square = side × side

• Perimeter of square = 4 × side

• Diagonal of square = √2 × side

• Diagonal of rectangle = √(length)² + (breadth)²