Question

A room 12.5 m and 10.5m wide is surrounded by a verandah 2 m wide all round it . find the area occupied by the verandah

Answer 1

370.5 m

Step-by-step explanation:

Given:

Length of the room = 12.5 m

Breadth of the room = 10.5 m

Breadth of the verandah = 2 m

•°• Length of the room with verandah

= (2 + 12.5 + 2) m

= 16.5 m

•°• Breadth of the room with verandah

= (2 + 10.5 + 2) m

= 14.5 m

•°• Area occupied by the verandah

= Area of the room with verandah - Area of the room

= [(16.5 × 14.5) + (12.5 × 10.5)] m

= (239.25 + 131.25) m

= 370.5 m

I hope this helps you. Adiós!

Answer 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.