(05.05)polygon abcd has the following vertices:
a(−3, 3), b(5, 5), c(5, −4), and d(−3, −4)
calculate the area of the polygon.
a. 52 units squared
b.56 units squared
c. 64 units squared
d.72 units squared

C. 64 unit squared

Step-by-step explanation:

We are given a polygon ABCD having co-ordinates A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4).

As, we know that,

Area of a polygon =

So, after substituting the values of the co-ordinates, we have,

Area of the polygon =

i.e. Area of the polygon =

i.e. Area of the polygon =

i.e. Area of the polygon =

i.e. Area of the polygon = |-64| unit squared.

i.e. Area of the polygon = 64 unit squared.

Hence, area of the given polygon is 64 unit squared.