Question

What is the perimeter of quadrilateral ABCD?

Answer 1

Perimeter of quadrilateral
`ABCD` will be
`104`

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`