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. 12
• B. 6
• C. 16
• D. 18

Answer 1

The correct option is B

6

We can observe, we have 4 rows and 9 columns in the given rectangle.

Total number of dots in given figure $=4\times 9=36$

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

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

Since total number of dots is $36$

$a^2=36$

$a=\sqrt{36}$

$a=\sqrt{2^2\times 3^2}$

$a=2\times 3$

$a=6$

So, the side of the square will be equal to 6.