$\"\"$

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Given that $\"\"$ .

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To find the area of the rhombus, we need to know the lengths of each diagonal.

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Draw graph.

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Graph:

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$\"graph$ $\"\"$

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Diagonal( $\"\"$ ):

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Distance between $\"\"$ is

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$\"\"$ (Distance formula)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$

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$\"\"$ (Simplify)

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$\"\"$ (Taking out square root) $\"\"$

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Diagonal( $\"\"$ ):

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Distance between $\"\"$ is

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$\"\"$ (Distance formula)

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$\"\"$ (Substitute $\"\"$ ) $\"\"$

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$\"\"$ (Simplify)

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$\"\"$ (Add)

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$\"\"$ (Taking out square root)

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$\"\"$

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Area:

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Area of rhombus $\"\"$

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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The area of rhombus is $\"\"$ square units.