What is the area of this irregular figure?

Answer:
[tex]180mm^2[/tex]
Step-by-step explanation:
This figure is made up of rectangle and a parallelogram
The area of a rectangle is:
[tex]12mm*6mm^2=72mm^2[/tex]
And the area the parallelogram is it's height times length. The height of the parallelogram is [tex]12mm[/tex], and it's length is [tex]15mm-6mm=9mm.[/tex]
Therefore the area of the parallelogram is:
[tex]9mm*12mm=108mm^2[/tex]
Together the area of the irregular shape is
[tex]72mm^2+108mm^2=180mm^2[/tex]
Which is our answer.