Question

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

12.05 units2
12.05 u n i t s squared

26.08 units2
26.08 u n i t s squared

52.2 units2
52.2 u n i t s squared

24.1 units2

Answer 1

26.08 units^2

Work (shoelace): with vertices (0,0),(2,2),(9,−4),(7,−6),
Area = 1/2 |0·2 + 2·(−4) + 9·(−6) + 7·0 − (0·2 + 2·9 + (−4)·7 + (−6)·0)| = 26 ≈ 26.08.