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22 Feb 2023, 02:30
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80% (01:29) correct
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In the rectangular coordinate plane, point A has coordinates (-4, 0), point B has coordinates (0, 4), point C has coordinates (4, 0), and point D has coordinates (0, -4). What is the area of quadrilateral ABCD?
(A) 8
(B) 16
(C) 24
(D) 32
(E) 64
(A) 8
(B) 16
(C) 24
(D) 32
(E) 64
22 Feb 2023, 02:54
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In the rectangular coordinate plane, point A has coordinates (-4, 0) and point C has coordinates (4, 0) both lying on X axis and point B has coordinates (0, 4) and point D has coordinates (0, -4) both lying on Y axis.
If we join the points we find that the quadrilateral forms a square with both diagonals equal to 8 or each side equal to \(4\sqrt{2}\)
therefore, the area of quad ABCD = \((4\sqrt{2})^2 =32\)
Answer D
If we join the points we find that the quadrilateral forms a square with both diagonals equal to 8 or each side equal to \(4\sqrt{2}\)
therefore, the area of quad ABCD = \((4\sqrt{2})^2 =32\)
Answer D
19 Apr 2025, 15:42
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