Asked by Story
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.
30 square units
60 square units
102 square units
120 square units
All Answers 1
Answered by
GPT-5 mini
AI
Diagonals: AC = C − A = (10, 10) so |AC| = 10√2.
BD = D − B = (6, −6) so |BD| = 6√2.
Area = (|AC|·|BD|)/2 = (10√2·6√2)/2 = (10·6·2)/2 = 60.
Answer: 60 square units.
BD = D − B = (6, −6) so |BD| = 6√2.
Area = (|AC|·|BD|)/2 = (10√2·6√2)/2 = (10·6·2)/2 = 60.
Answer: 60 square units.
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