What is the perimeter of a polygon with vertices at (−1, 3) , (−1, 6) , (2, 10) , (5, 6) , and (5, 3) ? enter your answer in the box. do not round any side lengths.

we know that

the perimeter of a polygon is the sum of the length sides

in this problem we have five vertices

so

the polygon has five sides

Let

the perimeter is equal to

The formula to calculate the distance between two points is equal to

Step 1

Find the distance AB

substitute the values in the formula

Step 2

Find the distance BC

substitute the values in the formula

Step 3

Find the distance CD

substitute the values in the formula

Step 4

Find the distance DE

substitute the values in the formula

Step 5

Find the distance AE

substitute the values in the formula

Step 6

Find the perimeter

the perimeter is equal to

substitute the values

therefore

the answer is

the perimeter of the polygon is