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The area of a rhombus is given by the formula A=xy/2, where x and y are the lengths of the diagonals. If the diagonals of a rhombus have lengths of 2 cm and 4 cm, find the area of the rhombus.

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Final answer:

The area of the rhombus with diagonals of 2 cm and 4 cm is 8 cm².

Step-by-step explanation:

The formula for the area of a rhombus is given by A = xy/2, where x and y are the lengths of the diagonals.

In this case, the diagonals have lengths of 2 cm and 4 cm.

Substituting these values into the formula, we get:

A = (2 cm)(4 cm)/2 = 8 cm²

Therefore, the area of the rhombus is 8 cm².

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