Question

a room 12.5 metre long and 10.5 metre wide is surrounded by a verandah 2 metre wide all around it find the area occupied by the verandah
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Answer 1

area of room -length ✖ breadth

12. 5 ✖ 10.5m

131.25m

length of outer rectangle (2+12.5+2) is equal to 12.9m

breadth of outer rectangle ( 2+10.5+2) is equal to 10.9m

area of outer rectangle - length ✖breadth

12.9 ✖10. 9m

140.61m

area of verandah area of outer rectangle-area of room

140.61 - 131.25m

9.36 square meters

answer is 9.36 meter square

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.