A room 12.5 m long and 10.5 m wide is surrounding by a verandah 2 m all round it . Find the area occupied by the veradah
Answers
Answer
Step-by-step explanation:
First off all add the width of verandah to the lenght and breadth of the room.
which will be 14.5 by 12.5 meters.
Then find the area of the room with original dimensions and subtract it with the area of room with these dimensions
in perfect order (not to get answer in negative).
You will get your area of the verandah.
Given data : A room 12.5 m long and 10.5 m wide is surrounded by a verandah 2m wide all around it.
To find : The area occupied by the verandah.
Solution : Here, we know that,
• Width of the verandah : 2 m
• Length of the room : 12.5 m
• Breadth of the room : 10.5 m
Now,
➜ Area of the room = length * breadth
➜ Area of the room = 12.5 * 10.5
➜ Area of the room = 131.25 m²
Now, a/c to given data ;
• Length of the room with width of the verandah : 12.5 + 2 * (2) = 12.5 + 4 = 16.5 m
• Breadth of the room with width of the verandah : 10.5 + 2 * (2) = 10.5 + 4 = 14.5 m
Now,
➜ Area of the room with verandah = length * breadth
➜ Area of the room with verandah = 16.5 * 14.5
➜ Area of the room with verandah = 239.25 m²
Now,
➜ Area of the verandah = {Area of the room with verandah} - {Area of the room}
➜ Area of the verandah = 239.25 - 131.25
➜ Area of the verandah = 108 m²
Answer : Hence, area of the verandah is 108 m².