Question

XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ?

Answer 1

Answer:

  17.5

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  perimeter = XZ +WZ +WX

The figure shows us WX = WZ, so we can rewrite the formula as ...

  perimeter = XZ +2·WZ

Filling in the given values, this becomes ...

  50 = 15 + 2·WZ

  35 = 2·WZ

  35/2 = WZ = 17.5

The length of WZ is 17.5 units.