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?
We can use the distance formula to find the length and width of the rectangle.
Length: The distance between (0,0) and (2,2) is $\sqrt{(2-0)^2 + (2-0)^2} = \sqrt{8} \approx 2.83$.
Width: The distance between (0,0) and (9,-4) is $\sqrt{(9-0)^2 + (-4-0)^2} = \sqrt{97} \approx 9.85$.
Therefore, the approximate area of the rectangle is $2.83 \times 9.85 \approx \boxed{27.90}$.