Question

I’m currently working on my quadrilaterals unit (specifically with trapezoids & kites) and I need major help on a lot of these problems.
Here’s one of them I need help solving (an answer would be preferable, but also an explanation.):

Answer 1

Check the picture below.

Answer 2

Answer: 29.2

Step-by-step explanation:

The lengths of the two longer legs are both $\sqrt{8^2 + 4^2}=\sqrt{80}$

The lengths of the two shorter legs are both $\sqrt{4^2+4^{2}}=\sqrt{32}$

So $P=2\sqrt{80}+2\sqrt{32} \approx 29.2$