Answer:
Option D. 21 cm
Step-by-step explanation:
We have to calculate the perimeter of the larger parallelograms similar to smaller one.
Since both the parallelograms are similar to their sides will be in the same ratio.
[tex]\frac{3}{4.5} =\frac{4}{x}[/tex]
Here, x is the unknown side of the larger parallelogram
By cross multiplication
3x = 4 × 4.5
3x = 18.0
x = [tex]\frac{18.0}{3}[/tex] = 6.0 cm
Since perimeter of a parallelogram = sum of all sides.
= 4.5 + 4.5 + 6.0 + 6.0
= 9 + 12.0
Perimeter = 21.0 cm
Option D. 21 cm
