Find the perimeter of the figure

The perimeter is 66.9 units

Step-by-step explanation:

See the attached figure with letters to better understand the problem

step 1

In the right triangle ABD

Find the length side AD

----> by TOA (opposite side divided by the adjacent side)

Find the length side BD

---> by SOH (opposite side divided by the hypotenuse)

step 2

In the right triangle CDE

Find the length side CE

--> by CAH (adjacent side divided by the hypotenuse)

we have

substitute

Find the length side DE

--> by TOA (opposite side divided by the adjacent side)

step 3

Find the perimeter of the figure

The perimeter is equal to

substitute the values