Question

(iii) A room 12.5m long and 10.5 m wide is surrounded by a varendah 2m wide all around it. Find the area occupied by varendah. show it with diagram​

Answer 1

★ Given :-

• Length of the room = 12.5 m

• Width of the room = 10.5 m

★ To Find :-

• Area occupied by the verandah.

★ Solution :-

Area of the room = l × b

→ 12.5 × 10.5

→ 131.25 m²

Length of the verandah,

→ 12.5 + 2 + 2

→ 12.5 + 4

→ 16.5 m

Breadth of the verandah,

→ 10.5 + 2 + 2

→ 10.5 + 4

→ 14.5 m

Total Area of the room,

→ l × b

→ 16.5 × 14.5

→ 239.25 m²

Area of verandah,

→ Area - Total Area

→ 239.25 - 131.25

→ 108 m²

$\tt{\therefore\:\:Area\:of\:verandah = 108\:m^2}$

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.