Question

What is the area of this polygon

Answer 1

Answer:

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

Answer 2

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.

Step-by-step explanation: