What is the perimeter of quadrilateral abcd?

Perimeter of quadrilateral will be  

Step-by-step explanation:

Given quadrilateral is a reflection of quadrilateral over the line .

So, all the corresponding sides of both the quadrilateral should be equal.

Also, we can see from the diagram that

As both image are reflection of same scale we can add corresponding sides.

So, the perimeter of will be

And we have

Now, perimeter of   will be

Perimeter of quadrilateral is

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

a is the right answer