Question

The floor of the room of a building is 80 m long and 50 m wide. The room is surrounded by a verandah which is 5m wide and is covered by tiles of dimensions 40 cm x 40 cm

1)What is the total area of the floor including verandah?
Please tell with explanation ​

Answer 1

Answer:

ANSWER IS RS.5400

Step-by-step explanation:

Given, Length of room =4.5m and breadth of room =4 m

So, Area of room =4.5×4=18 m  

2

 

Area of room =18×(10000 cm  

2

)=180000cm  

2

 

Size of tiles =(15 cm×10 cm)

So, Area of tile one =15×10=150 cm  

2

 

So, number of tiles required to cover the floor=  

Area of one tile

Area of floor

​  

 

=  

150

180000

​  

=1200

It is given that for one tile it costs Rs. 4.50

Therefore. cost of covering the floor with tiles

=4.50×1200=Rs.5400

Answer 2

Given:

• Length and Breadth of the floor (PQRS) is 80 m and 50 m respectively.
• The room is surrounded by a verandah which is 5 m wide.

To Find:

• Total area of the floor including verandah (ABCD) = ??

Process:

To find the area of the floor including verandah we first have to find the length and breadth of the floor including verandah. To find that we have to add 10 m to the length and breadth of the room, as the room is surrounded by the verandah with a width of 5 m and adding both the sides (5 m + 5 m) it becomes 10 m. So, length will be (80 + 10)m = 90 m; and breadth will be (50 + 10)m = 60 m. After, that we can find the area of the floor including verandah by using the formula: Area of rectangle = (L × B) sq. units.

Formula Used:

$\boxed{\sf{Area\;_{(Rectangle)}=(L\times B)\;sq.\; units}}$

Where,

L = Length

B = Breadth

Solution:

Length of the floor (PQRS)= 80 m

Breadth of the floor (PQRS) = 50 m

∵ Width of the verandah = 5 m

∴ Length of the floor including verandah (ABCD) = (80 + 10)m

                                                                                 = 90m

Breadth of the floor including verandah (ABCD) = (50  + 10)m

                                                                               = 60m

Area of the floor including verandah = (L × B) sq. units

                                                             = (90 × 60)m²

                                                             = 5400m²

Hence, area of the floor including verandah is 5400m².