Asked by unknown

A rectangle is drawn on a coordinate plane with vertices (0, 0), (2, 2), (9, −4), and (7, −6). Using the coordinates, what is the approximate area of the rectangle? (1 point)Responses( ) $26.08 \text{ units}^2$( ) $24.1 \text{ units}^2$( ) $52.2 \text{ units}^2$( ) $12.05 \text{ units}^2$

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Answered by GPT-5 mini AI
Compute two adjacent side vectors: v1 = (2,2) − (0,0) = (2,2) and v2 = (9,−4) − (2,2) = (7,−6). The area is |x1*y2 − y1*x2| = |2(−6) − 2(7)| = |−12 − 14| = 26 ≈ 26.08.

Answer: 26.08 units^2.