Answer:
The perimeter is 38.25 units
Step-by-step explanation:
The perimeter of the tra-pezoid is the distance around it.
The length of the bases can be found using the absolute value method.
|RS|=|20-14|=6 units.
|TQ|=|22-8|=14
Recall the distance formula;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We use the distance to find the non parallel sides.
[tex]|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25[/tex] units.
and
[tex]|QR|=\sqrt{(8-14)^2+(16-8)^2} =10[/tex] units.
The perimeter of the tra-pezoid is
=14+10+6+8.25=38.25
