Rate of change of area with deformation

[Coderhk]

Homework Statement

Suppose I had a coil as shown in the picture. If I was to stretch the wire in the x-axis at a rate v. What is the area as a function of time.

Relevant Equations

X^2+Y^2=z^2

Could I please get a hint on how I should start this question/how I should parameterize these variables?
I'm going to head to sleep as I am from the eastern time zone. I apologize ahead of time for my delayed reply.

 

[Mark44]

The image you posted was very poor quality, with bad lighting. Please post a clearer image of your work.

 

[Orodruin]

Please post a clearer image of your work.

Or, preferably, type it out.

 

[DrClaude]

You will also have to describe better the situation you are considering. In the problem statement, you say you stretch the wire, but in your solution you say that y decreases with time.