To calculate the area of the image produced by a converging lens, we can use the magnification formula: \(\text{Magnification} \, (M) = \frac{\text{Height of image}}{\text{Height of object}}\) Given that the magnification \( M = 5 \) and the side of the square wire gauze (the object) is \( 2 \, \text{cm} \), we can find the height of the image: \(\text{Height of image} = M \times \text{Height of object} = 5 \times 2 \, \text{cm} = 10 \, \text{cm}\) Since the object is a square, the area of the object is: \(\text{Area of object} = \text{side}^2 = (2 \, \text{cm})^2 = 4 \, \text{cm}^2\) The area of the image can be calculated using the square of the magnification: \(\text{Area of image} = M^2 \times \text{Area of object} = 5^2 \times 4 \, \text{cm}^2 = 25 \times 4 \, \text{cm}^2 = 100 \, \text{cm}^2\) Thus, the area of the image is: 100cm\(^2\)