Figure abcd has vertices a(−6, 3), b(2, 3), c(2, −4), and d(−6, −1). what is the area of figure abcd?

Area of figure ABCD = 44 units square

Step-by-step explanation:

Plotting the given points:

, , and

On plotting the points we find out that the figure is a trapezoid with sides

From the graph Length of parallel sides can be found out as they are vertical lines:

Length of a non parallel side AB can be found out as it is a horizontal line.

Note: , so is the height of trapezoid as height is perpendicular distance between the parallel sides.

Area of trapezoid is given by

⇒

⇒

⇒

⇒ units square

∴ Area of figure ABCD = 44 units square