A room is constructed along with the verandah around it surrounding all the four sides of the room. Dimensions of the room are 5.5 m long and 4 m wide. Verandah is of width 2.25 m. Find the area of the verandah constructed?

# A room is constructed along with the verandah around it surrounding all the four sides of the room. Dimensions of the room are 5.5 m long and 4 m wide. Verandah is of width 2.25 m. Find the area of the verandah constructed?

1. A
$63{m}^{2}$
2. B
$65{m}^{2}$
3. C
$60{m}^{2}$
4. D

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### Solution:

Concept: Firstly, we’ll divide the verandah into smaller rectangles, and then we’ll calculate the dimensions of those rectangles and after that we’ll find the area of those rectangles and then add them to get the area of the verandah.
Consider a room $\mathit{ABCD}$ and the surrounding area, its verandah.
Now, , and the width of the verandah is .
So,

We know,

We know that,

We know that,

Now,

Hence, the area of verandah is $63{m}^{2}$.

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