Ok, so
Let me draw the quadrilateral here below:
What we have to do here, is to find the distance between each segment, and then sum all of them.
Let's start with segment AD.
Notice that there's a horizontal line, so the distance will be:
8 units.
Now, let's go with segment AB.
For this, we use the next equation:
Where (x1,y1) and (x2,y2) are our points.
A ( -4,-3 ) and B ( -3,2 )
So, the distance will be:
So, the segment AB has a measure of √26 units.
Now, let's go with segment BC.
B (-3 , 2) and C ( 2 , 4 )
We apply the same equation:
So, the lenght of segment BC measures √27 units.
Now and finally, let's go with segment CD.
C ( 2 , 4 ) and D ( 4 , -3 )
Finally, we sum all the measures of all sides.
And the perimeter will be:
8 + √26 + √27 + √53
= 25.57528
If we round to the nearest tenth:
Perimeter = 25.6
