What is the perimeter of polygon abcd?

The perimeter is the sum of the length of the sides of a certain shape. In this case, the perimeter of the polygon would be the sum of the lengths of sides AB, BC, CD, and DA.

Perimeter = d_{AB} + d_{BC} +d_{CD} +d_{DA}= 5 + 5 + 13 + 13 = 36P

The answer to your question is 36 units

Step-by-step explanation:

Data

Perimeter = ?

Origin = (0, 0)

A = (5, 12)

B = (9, 9)

C = (12, 5)

Process

1.- Calculate the distance from O to A

dAO =

dAO =

dAO =

dAO = 13

2.- Calculate the distance from A to B

dAB =

dAB =

dAB =

dAB = 5

3.- Calculate the distance from B to C

dBC =

dBC =

dBC =

dBC = 5

4.- Calculate the distance from O to C

dOC =

dOC =

dOC =

dOC = 13

5.- Calculate the perimeter

Perimeter = 13 + 5 + 5 + 13 = 36 units