Trapezoid abcd is graphed in a coordinate plane.

what is the area of the trapezoid?

10 square units
12 square units
20 square units
24 square units

The area of ABCD is 12 square units. Option b is correct.

Step-by-step explanation:

From the given figure it is clear that the vertices of triangle are A(-5,-2), B(-1,2), C(0,-1), D(-2,-3).

The area of ABCD is the sum of area of triangle ABC and ACD.

Area of a triangle is

Area of triangle ABC is

The area of triangle ABC is 8 square units.

Area of triangle ACD is

The area of triangle ABC is 4 square units.

The are of ABCD is

Therefore the area of ABCD is 12 square units. Option b is correct.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!