Question

Observe the rectangle given below

If we rearrange the dots and make this rectangle a square, then what will be the side of that square.

• A. 2
• B. 4
• C. 8
• D. 16

Answer 1

The correct option is B

4

We observe that we have 2 rows and 8 columns in the rectangle.

Total number of dots in given figure $=2\times 8=16$.

Let 'a' be the side of the square which we get after rearranging the dots of this rectangle.

Total number of dots in that square $=a^2$

Since the total number of dots is 16

$a^2=16$

$a=\sqrt{16}$

$a=\sqrt{2^4}$

$a=2^2=4$

So, the side of the square will be equal to 4.