The adjacent sides of a rectangle are 16 m and 9 m. The length of the square whose area is equal to the area of the rectangle is :

1. 16 m

2. 18 m

3. 12 m

4. 72 m

Given:

The adjacent sides of the rectangle are 16 m and 9 m.

As we know, the area of the rectangle = length x breadth

= 16 x 9 m²

= 144 m²

SInce the area of the rectangle is equal to the area of the square,

And, the area of the square = side²

⇒ side² = 144 m²

⇒ side = $\sqrt{144}$ m

⇒ side = 12 m

Hence, option 3 is the correct option.