If WXYZ is an isosceles trapezoid, and WX and YZ are the legs. XY is the base. And WX = 6x-5, YZ = 4x + 11, and XY = 9x-3. Find x and find the length of the base XY.

Question

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Answer 1

Let WXYZ be an isosceles trapezoid, with WX and YZ as the legs and XY as the base.

WX = 6x - 5
YZ = 4x + 11
XY = 9x - 3

We can solve for x by setting WX = YZ and solving for x:

6x - 5 = 4x + 11
2x = 16
x = 8

Now that we know x = 8, we can find the length of the base XY:

XY = 9x - 3
XY = 9(8) - 3
XY = 71

Therefore, the length of the base XY is 71.

Answer 2

AAAaannndd the bot gets it wrong yet again!

XY = 9(8) - 3
XY = 69