What is the area of this polygon

First find the distance between points M and V and the distance between points M and R using the distance formula:

MV = the sq. rt of (-2 - (-5)^2 + (3 - 2)^2

MV = the sq. rt of 9 + 1

MV = the sq. rt of 10

MR = the sq. rt of (-2 - (-5)^2 + (-3 - 2)^2

MR = the sq. rt of 9 + 25

MR = the sq. rt of 34

Now we cut the polygon into a triangle and a rectangle solving each area and adding them together:

Triangle- A = 1/2bh

A = 1/2(6)(3)

A = 9

Rectangle- A=bh

A = 6(5)

A = 30

Now add these areas together- 30 + 9 = 39units^2 and that's your answer

(hint): the answer is in the question.