Question

How many tiles of length 12 cm and breadth 6 cm
can fit on a reclangular floor of length ₹ 88 cm
breadth 72 cm



please tell?​

Answer 1

Question :-

How many tiles of length 12 cm and breadth 6 cm can fit on a rectangular floor of length 88 cm and breadth 72 cm?

Answer :-

• 88 tiles of length 12 cm and breadth 6 cm can fit on a rectangular floor of length 88 cm and breadth 72 cm.

Given :-

• Length of the tile = 12 cm.
• Breadth of the tile = 6 cm.

To find :-

• The number of tiles which can fit on a rectangular floor of length 88 cm and breadth 72 cm.

Step-by-step explanation :-

• To find the number of tiles which can fit on a rectangular floor of length 88 cm and breadth 72 cm, let's find the area of each tile first.

• The tile is in the shape of a rectangle, since it's length and breadth is given.

• So, to find the area of the tile, we are going to use the formula required for finding the area of a rectangle.

We know that :-

$\underline{\boxed{\sf Area \: of \: a \: rectangle = (Length \times Breadth)}}$

Here,

• Length of the tile = 12 cm.
• Breadth of the tile = 6 cm.

Hence,

$\tt Area \: of \: each \: tile = 12 \: cm \times 6 \: cm$

• Multiplying the numbers,

$\underline {\boxed{\tt Area \: of \: each \: tile = 72 \: cm^2.}}$

• Now, since we know the area of each tile, therefore let's find the area of the rectangular floor.

• The floor is in the shape of a rectangle, since it's a rectangular floor.

• So, to find the area of the floor, we are going to use the formula required for finding the area of a rectangle.

As given above,

$\underline{\boxed{\sf Area \: of \: a \: rectangle = Length \times Breadth.}}$

Here,

• Length = 88 cm.
• Breadth = 72 cm.

Hence,

$\tt Area \: of \: the \: floor = 88 \: cm \times 72 \: cm$

• Multiplying the numbers,

$\underline{\boxed{\tt Area \: of \: the \: floor =6336 \: cm^2.}}$

Now,

$\underline{\boxed{\sf No. \: of \: tiles \: needed= {\dfrac{Area \: of \: the \: floor}{Area \: of \: each \: tile}}}}$

• Substituting the values in the given formula,

$\sf No. \: of \: tiles \: needed = \dfrac{6336}{72}$

• Dividing 6336 by 72,

$\underline {\boxed{ \sf No. \: of \: tiles \: needed = 88.}}$