Question

how many tiles whose length and breadth are 13cm and 7cm respectively are needed to cover a rectangular region whose length and breadth are 320cm and 140 cm​

Answer 1

Answer:-

Number of tiles = 800 tiles

ExplanatioN:-

Correct Question:-

How many tiles whose length and breadth are 13cm and 7cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm.

GiveN:-

A tile of length and breadth are 13cm and 7cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm.

To FinD:-

The number of tiles.

SolutioN:-

Analysis :

First we have to find the area of the rectangle and then the area of the tile. As we are said to find the number of tiles we have to divide the area of rectangle by area of tile and we will get our answer.

SolutioN:-

We know that if we are given the length and breadth of the rectangle then our required formula to find the area is,

Area of rectangle = Length × Breadth

where,

• Length = 520 cm
• Breadth = 140 cm

By using the formula of the rectangle and substituting the values in the required formula,

⇒ Area of rectangle = Length × Breadth

⇒ Area of rectangle = 520 × 140

∴ Area of rectangle = 72800 cm².

Now the area of tile :

We know that if we are given the length and breadth of the rectangle then our required formula to find the area is,

Area of rectangle = Length × Breadth

where,

• Length = 13 cm
• Breadth = 7 cm

By using the formula of the rectangle and substituting the values in the required formula,

⇒ Area of rectangle = Length × Breadth

⇒ Area of rectangle = 13 × 7

∴ Area of tile = 91 cm².

Number of tiles :

We know that if we are asked to find the number of tiles and area of rectangle and area of tile is given then our required formula is,

Number of tiles = Area of rectangle/Area of tile

where,

• Area of rectangle = 72800 cm²
• Area of tile = 91 cm²

By using the formula and substituting the values in the required formula,

⇒ Number of tiles = Area of rectangle/Area of tile

⇒ Number of tiles = 72800/91

∴ Number of tiles = 800 tiles.

Number of tiles needed to cover the rectangular region is 800 tiles.

Answer 2

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GivEn:

• Length of tiles = 13cm
• Breadth of tiles = 7cm
• Length of rectangular region = 320cm
• Breadth of rectangular region = 140cm

To finD:

• Number of tiles required to cover this rectangular region whose length and breadth are given.

Solution:

First of all, we need to find area of both tiles and rectangular region.

Finding area of tiles :-

Dimension of tiles are given that length is 13cm and breadth is 7cm.

So, the required formula is :-

• Area of rectangle = Length× breadth

Let substitute values in formula :

Substituting values in formula:-

Area of tiles = Length × Breadth

=> Area of tiles = 13cm × 7cm

=> Area of tiles = 91cm²

Hence,

Area of tiles is 91cm²

Finding area of rectangular region :

In this region, we have given Length is 320cm and breadth is 140cm.

Formula using :

• Area of rectangle = length× breadth

let substitute values in this formula :-

Substituting values in formula :-

Area of rectangular region = Length × Breadth

=> Area of rectangular region = 320cm × 140cm

=> Area of rectangular region = 44800cm²

Hence,

Area of rectangular region = 44800cm²

Finding number of tiles required :-

To find the number of tiles required, we will use a formula which is as :-

• Number of tiles required = area of rectangular region/ area of tiles.

Let substitute values in formula :-

Substituting value in formula :-

Number of tiles required = 44800/91

=> Number of tiles required = 492.3076...

Our final answer :-

Number of tiles required to cover the given rectangular region is 492.3076....