The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.

The diagonals of the rhombus are AC and BD. Their lengths are AC = √((6 − (−4))² + (8 − (−2))²) = 10√2 and BD = √((4 − (−2))² + (0 − 6)²) = 6√2. A rhombus’s area is half the product of its diagonal lengths, so the area is (10√2 × 6√2) ÷ 2 = 60 square units. The correct choice is 60 square units.

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