Given the information below, what is xy in centimeters? show all necessary work. ( final solution should be numeric.)

Refer the image attached:

Now, as the question says length of WZ = 28 cm

Length of WX = cm

Length of YZ = cm

Lets say the length of XY = K cm  (Refer the image attached)

Now,

Length of WZ = length of WX+ length of XY+ length of YZ

Now, Y is the mid-point of XZ. So the length XY must be equal to the length YZ.

Now,

So,

The total length that is the length of WZ should be equal to:

Solving for 'a', we get:

Now that we have the value of 'a', we can find the length of the mid-section that is XY.

So, the length of XY is 11 centimeters.