The area of the rhombus is 30 and the perimeter is 24. Find the height of the rhombus

All sides of the rhombus are equal (by definition).
Therefore, P = 24 = 4a, where a is the side of the rhombus.
a = 24/4 = 6
S = ah, where h is the rhombus height.
30 = S = ah = 6h
h = 30/6 = 5
Answer: h = 5

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