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Applying Appolohnius theorem on the rhombus, let each side of the rhombus be "a".
$$a^2+a^2=2\left(20^2+15^2\right)$$
$$2a^2=2\left(625\right)\ or\ a^2=625\ or\ a=25$$
The length of a side is 25cm. Hence perimeter of the rhombus is 100cm.
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