The drawing of an irregular area is covered by 42.2 squares of 200 mm side. If the side of the drawing is 10mm = 1m, the actual area of field . . . . . . . .

Answer: Option A

The correct answer is Option A: 16880m².

To find the actual area of the field, we need to calculate the area covered by the squares and then adjust for the scale factor.

The area covered by the squares is given by:

$$\text{Area of each square}={\text{Side}}^2$$
$$\text{Area of each square}=(200\text{mm}{)}^2$$
$$\text{Area of each square}=40000{\text{mm}}^2$$

Since there are 42.2 squares, the total covered area is:
$$\text{Total covered area}=42.2\times \text{Area of each square}$$
$$\text{Total covered area}=42.2\times 40000{\text{mm}}^2$$


Now, to convert this area to square meters (1m = 1000mm), we use the scale factor:

$$\text{Actual area}=\left(\frac{\text{Total covered area}}{{\text{Scale factor}}^2}\right)$$

$$\text{Actual area}=\left(\frac{42.2\times 40000}{(10\text{mm}{)}^2}\right)$$

Now, calculate the actual area to get the answer.

The correct answer is Option A: 16880m².