a room 12.5m long and 10.5 m wide is surrounded by a verendah 2m wide all it . find the area occupied by the verendah
Answers
Answer:
Step-by-step explanation:
Area of the room=12.5*10.5=131.25m^2
Length of the room with barandha=12.5+2*2=16.5m
Breadth of the room with barandha=10.5+2*2=14.5m
Area of the room with barandha=16.5*14.5=239.25m^2
Area of the barandha=239.25-131.25=108m^2
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.