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Q.

The area of the enclosed region in figure below, where all of the short line segments are at right angles to each other and 1 cm long is

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a

25

{cm}^{2}

b

52

{cm}^{2}

c

32

{cm}^{2}

d

123

{cm}^{2}

Question Image

answer is A.

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Detailed Solution

Given, a figure where all of the short line segments are at right angles to each other and 1 cm long.
We know that the area of the square is the square of its side.
Now, here in the given figure it can be assumed that there are 25 small squares each side 1 cm.
So, the area of the region will be 25 times the area of one square.
Therefore, the area of the enclosed region is,

= 25 × 1 = 25 cm 2

Hence, the area of the enclosed region is obtained as

25 cm 2

.
Hence, the correct option is 1.

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