Which equations can be used to determine the area of the irregular figure? Check all that apply.

A trapezoid has a base of 4 centimeters, height of 3 centimeters, and top side with a length of 2 centimeters.
A = one-half (3) (2) + 2 (3)
A = one-half (3) (4) + one-half (2) (3)
A = one-half (2) (3) (4)
A = 2 (3) (4)
A = one-half (3) (4) + 2 (3)
A = 3 (4) + 2 (3)

We have been given an image of an irregular figure. We are asked to choose the equations that can be used to determine the area of the irregular figure.

We can see that our given image is made up of two figures. One rectangle and one triangle.  

The rectangle will be with width 2 cm and length 3 cm. The triangle will have base 2 cm and height 3 cm.

Area of rectangle would be .

Area of triangle would be .

Sum of both areas would be . Therefore, 1st option is correct choice.

We can also divide area of irregular figure into triangles as shown in the attached file.

The base of one triangle would be 2 cm and other triangle will have a base of 4 cm. The heights of both triangles would be 3 cm.

Area of both triangles would be . Therefore, 2nd option is correct as well.