Question

What is the perimeter of quadrilateral ABCD?

Answer 1

Answer:

Perimeter of quadrilateral $ABCD$ will be  $104$

Step-by-step explanation:

Given quadrilateral $A'B'C'D'$ is a reflection of quadrilateral $ABCD$ over the line $m$.

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

Also, we can see from the diagram that $A'D'=32,\ A'B'=22,\ BC=20,\ and\ CD=30$

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

So, the perimeter of $ABCD$ will be

$AB+BC+CD+DA$

And we have $AB=A'B'\ and\ AD=A'D'$

Now, perimeter of  $ABCD$ will be $22+20+30+32$

Perimeter of quadrilateral $ABCD$ is $104$