To find the perimeter of a rectangular sheet of paper given the length and breadth, we can use the following formula for perimeter:
[tex]\[ P = 2 \times (\text{Length} + \text{Breadth}) \][/tex]
Given:
- Length ([tex]\(L\)[/tex]) = [tex]\(\frac{3}{5}\)[/tex] cm
- Breadth ([tex]\(B\)[/tex]) = [tex]\(\frac{2}{5}\)[/tex] cm
Now, let's calculate the sum of the length and the breadth:
[tex]\[ L + B = \frac{3}{5} + \frac{2}{5} \][/tex]
To add these fractions, we need to ensure they have the same denominator, which they do. Therefore:
[tex]\[ L + B = \frac{3+2}{5} = \frac{5}{5} = 1 \text{ cm} \][/tex]
Next, we multiply this sum by 2 to get the perimeter:
[tex]\[ P = 2 \times (\frac{5}{5}) = 2 \times 1 = 2 \text{ cm} \][/tex]
So, the perimeter of the rectangular sheet is:
[tex]\[ \boxed{2 \text{ cm}} \][/tex]
Thus, the correct answer is (b) 2 cm.
