The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. what is the area, in square units, of this polygon?
27 units2
33 units2
36 units2
51 units2

the area, in square units, of this polygon is 36 units2

The area of the given Polygon is:

The polygon is in the shape of the trapezoid with two bases AB and CD and altitude as: AD

Now we know that the area of trapezoid is given by:

i.e.

Here

Now, we find the length of AB,CD and AD using distance formula.

A is located at (-2,5)

B at (3,5)

C at (5,-1)

D at (-2,-1)

Hence, the area of  Trapezoid is:

wheres graph

step-by-step explanation: