Answer:
Part 1) The shape is a trapezoid
Part 2) The perimeter is  or approximately
   or approximately  
Part 3) The area is 
Step-by-step explanation:
step 1
Plot the figure to better understand the problem
we have
A(-28,2),B(-21,-22),C(27,-8),D(-4,9)
using a graphing tool
The shape is a trapezoid
see the attached figure
step 2
Find the perimeter
we know that
The perimeter of the trapezoid is equal to

the formula to calculate the distance between two points is equal to

Find the distance AB
we have
A(-28,2),B(-21,-22)
substitute in the formula




Find the distance BC
we have
B(-21,-22),C(27,-8)
substitute in the formula




Find the distance CD
we have
C(27,-8),D(-4,9)
substitute in the formula




Find the distance AD
we have
A(-28,2),D(-4,9)
substitute in the formula




Find the perimeter


simplify
 ----> exact value
 ----> exact value

therefore
The perimeter is  or approximately
   or approximately  
step 3
Find the area
The area of trapezoid is equal to
![A=\frac{1}{2}[BC+AD]AB](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5BBC%2BAD%5DAB)
substitute the given values
![A=\frac{1}{2}[50+25]25=937.5\ units^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B50%2B25%5D25%3D937.5%5C%20units%5E2)