11. Given the kite shown below with TW=5 cm, TX = 12 cm and TZ = 4 cm.

Answer: 39 cm

Step-by-step explanation:

Let's consider the kite as depicted in the image provided, where TW=5 cm, TX=12 cm, and TZ=4 cm.

First, we need to determine the lengths of the unknown sides to calculate the perimeter, assuming that both the top and bottom parts consist of isosceles triangles.

For the upper segment, we will apply the Pythagorean Theorem to triangle TWZ, with TZ measuring 4 cm and TW being 5 cm. Hence, we must calculate WZ:

By isolating :

For the lower segment, we can apply the Pythagorean Theorem to triangle WZX, where WZ=3 cm and ZX=8 cm. We need to find WX:

Now that the lengths of all sides are identified, the perimeter can be calculated:

The closest option to this calculated value is 39 cm.