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

17.5

35

20

15​

XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ? 17.5 35 20 15​-example-1
User Denian
by
4.4k points

1 Answer

4 votes

Answer:

17.5

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.

User EraserheadIRL
by
5.2k points