Question

The coordinates of the vertices of a polygon are (−4, 2) , (2, 2) , (2, −1) , (−2, −3) , and (−5, −2) .

What is the perimeter of the polygon?



Enter your answer as a decimal, rounded to the nearest tenth of a unit, in the box.

_______ units

Answer 1

Let’s go through this together :)

First, I plotted the points on a graph (attaches photo).

Now, I am going to count the number of units between each point to find the perimeter.

6 + 3 + (square root of (1 squared + 4 squared)) + (square root of (1 squared + 3 squared)) + (square root of (2 squared + 4 squared)) = 15.8556546...

Rounded to the nearest one tenth, the answer is 15.9 units.