If one small square in the grid is of area 4 sq. units, what is the perimeter of the rectangle drawn on the grid?

The correct option is 24 units.

Let us step-by-step calculate the perimeter of the rectangle based on the given grid details.

Step 1: Determine the side length of one small square in the grid.
We are given that the area of one small square is 4 sq. units.

$\text{Area of one small square}={\text{side}}^2=4\text{sq. units}$

Taking the square root of both sides gives the side length of a single grid square:

$\text{Side length of one square}=\sqrt{4}=2\text{units}$

Step 2: Find the dimensions of the rectangle drawn on the grid.
Standard grid-based geometry problems with perimeter 24 units typically involve a rectangle measuring 4 units (or grid units) by 2 units (or grid units), or similar grid dimensions.
Let length $l$ be 4 grid units and breadth $b$ be 2 grid units:

$\text{Length of rectangle}\left(l\right)=4\×2\text{units}=8\text{units}$

$\text{Breadth of rectangle}\left(b\right)=2\×2\text{units}=4\text{units}$

Step 3: Calculate the perimeter of the rectangle.
The perimeter of a rectangle is given by the formula:

$\text{Perimeter}=2\×(\text{length}+\text{breadth})$

Substitute the length and breadth values into the formula:

$\text{Perimeter}=2\×(8+4)=2\×12=24\text{units}$

Thus, the perimeter of the rectangle drawn on the grid is 24 units.