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[tex]|ZY|=|XY|=\sqrt{53}\to|ZY|+|XY|=2\sqrt{53}\\\\|ZW|=|XW|=5\to|ZW|+|XW|=5+5=10[/tex]
The perimeter of kite wxyz is
[tex]P=2\sqrt{53}+10[/tex]
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