To answer your question, we first need to understand that the perimeter of a rectangle is calculated by adding up all its sides or simply twice the sum of its length and width.
From the information given, the width of the rectangle is equal to 2 cm plus the square root of 5 cm, while the length is 6 cm plus 3 times the square root of 5 cm.
So now, let's sum up the length and the width:
= (2 + √5 cm) + (6 + 3√5 cm)
= 8 + 4√5 cm
We then multiply this result by 2 (to account for both sets of opposite sides of the rectangle):
Perimeter = 2 * (8 + 4√5 cm)
Perimeter ≈ 33.89 cm
Therefore, the perimeter of the rectangle is roughly 33.89 cm.