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Find the area of a verandah 2.25 m wide constructed outside a room 5.5 m long and 4 m wide.
- a)36sq.m
- b)63sq.m
- c)64sq.m
- d)84sq.m
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Find the area of a verandah2.25mwide constructed outside a room5.5mlon...
To find the area of the verandah, we first calculate the area of the entire structure (room + verandah) and then subtract the area of the room itself.
1. Dimensions of the room:
Length = 5.5 m
Width = 4 m
Area of the room = Length × Width =
2. Dimensions of the verandah:
The verandah is constructed around the room, meaning it adds 2.25 m to each side.
So, the length of the entire structure (room + verandah) is:
Similarly, the width of the entire structure is:
So, the area of the entire structure (room + verandah) is:
3. Area of the verandah: To find the area of the verandah, we subtract the area of the room from the area of the entire structure:
Area of verandah =
63 sq. cm
Thus, the correct answer is option B: 63 sq.m.
1. Dimensions of the room:
Length = 5.5 m
Width = 4 m
Area of the room = Length × Width =
2. Dimensions of the verandah:
The verandah is constructed around the room, meaning it adds 2.25 m to each side.
So, the length of the entire structure (room + verandah) is:
Similarly, the width of the entire structure is:
So, the area of the entire structure (room + verandah) is:
3. Area of the verandah: To find the area of the verandah, we subtract the area of the room from the area of the entire structure:
Area of verandah =
63 sq. cm
Thus, the correct answer is option B: 63 sq.m.
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Community Answer
Find the area of a verandah2.25mwide constructed outside a room5.5mlon...
To find the area of the verandah, we need to calculate the area of the entire rectangular space and then subtract the area of the room.
Given:
Width of the verandah = 2.25 m
Length of the room = 5.5 m
Width of the room = 4 m
Step 1: Calculate the area of the entire rectangular space
The length of the verandah would be equal to the length of the room plus twice the width of the verandah (since the verandah is on both sides of the room).
Length of the verandah = Length of the room + 2 * Width of the verandah
Length of the verandah = 5.5 m + 2 * 2.25 m
Length of the verandah = 5.5 m + 4.5 m
Length of the verandah = 10 m
Now, we can calculate the area of the entire rectangular space:
Area of the entire rectangular space = Length * Width
Area of the entire rectangular space = 10 m * 4 m
Area of the entire rectangular space = 40 sq.m
Step 2: Calculate the area of the room
The area of the room can be calculated as:
Area of the room = Length of the room * Width of the room
Area of the room = 5.5 m * 4 m
Area of the room = 22 sq.m
Step 3: Calculate the area of the verandah
The area of the verandah can be found by subtracting the area of the room from the area of the entire rectangular space:
Area of the verandah = Area of the entire rectangular space - Area of the room
Area of the verandah = 40 sq.m - 22 sq.m
Area of the verandah = 18 sq.m
So, the correct answer is option B) 18 sq.m.
Note: In the given options, the correct answer should be 18 sq.m, not 63 sq.m.
Given:
Width of the verandah = 2.25 m
Length of the room = 5.5 m
Width of the room = 4 m
Step 1: Calculate the area of the entire rectangular space
The length of the verandah would be equal to the length of the room plus twice the width of the verandah (since the verandah is on both sides of the room).
Length of the verandah = Length of the room + 2 * Width of the verandah
Length of the verandah = 5.5 m + 2 * 2.25 m
Length of the verandah = 5.5 m + 4.5 m
Length of the verandah = 10 m
Now, we can calculate the area of the entire rectangular space:
Area of the entire rectangular space = Length * Width
Area of the entire rectangular space = 10 m * 4 m
Area of the entire rectangular space = 40 sq.m
Step 2: Calculate the area of the room
The area of the room can be calculated as:
Area of the room = Length of the room * Width of the room
Area of the room = 5.5 m * 4 m
Area of the room = 22 sq.m
Step 3: Calculate the area of the verandah
The area of the verandah can be found by subtracting the area of the room from the area of the entire rectangular space:
Area of the verandah = Area of the entire rectangular space - Area of the room
Area of the verandah = 40 sq.m - 22 sq.m
Area of the verandah = 18 sq.m
So, the correct answer is option B) 18 sq.m.
Note: In the given options, the correct answer should be 18 sq.m, not 63 sq.m.
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