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In rhombus ABCD below, AC=26 cm and BD=22 cm.Find the area of the rhombus.Be sure to include the correct unit in your answer.

In rhombus ABCD below, AC=26 cm and BD=22 cm.Find the area of the rhombus.Be sure-example-1

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Rhombus area formula


A=(d_1d_2)/(2)

where d₁ and d₂ are the diagonals of the rhombus.

In this case, the diagonals are the segments AC and BD. Substituting with AC = 26 cm and BD = 22 cm, we get:


\begin{gathered} A=(AC\cdot BD)/(2) \\ A=(26\cdot22)/(2) \\ A=286\text{ }cm^2 \end{gathered}

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