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The equation for the perimeter is

Step-by-step explanation:

Step 1:

The perimeter of a parallelogram is twice the sum of its base length and side length.

First, we determine the perimeters of each of the given parallelograms.

If n is the number of parallelograms in the figure, then

When n = 1, the perimeter

When n = 2, the perimeter

When n = 3, the perimeter

Step 2:

So when we substitute the values of n in the given options we get the following values. The perimeter of the first figure is 18 units.

Option 1; when n = 1,

Option 2; when n = 1,

Option 3; when n = 1,

Option 4; when n = 1,

Only option 4 satisfies the given equation.  So