Question

7. How many square tiles of side 14 cm will be required to pave the floor of a rectangular room
9.8 m x 6.4 m?​

Answer 1

☆ Solution ☆

Given :-

• Rectangular room of 9.8 m × 6.4 m

To Find :-

• How many square tiles of side 14 cm will be required to pave the floor of a rectangular room.

Step-by-Step-Explaination :-

First we will find the area of floor.

As we know that :-

Area of rectangle = Length $\times$Breadth

Area of rectangle = 9.8 m $\times$6.4 m

Area of rectangle = 62.72 ${m}^{2}$

Hence,

Area of rectangle = 62.72 ${m}^{2}$

Now,

We will find the area of tiles

As we know that :-

Area of square = Side $\times$Side

Let convert 14 cm into m

As we know that :-

100 cm = 1 m

So,

14 cm = $\frac{14 cm}{ 100 m}$

= 0.14

Now,

Area of Square tiles = 0.14 $\times$0.14

Area of Square tiles = 0.0196${m}^{2}$

Now,

We will find how many square tiles required

Tiles required = $\dfrac{Area\: of\: floor }{Area\: of \: tiles}$

=> $\dfrac{62.72 {m}^{2} }{0.0196 {m}^{2} }$

=> 3200 tiles

Hence Solved!