Answer:
B. 18 units²
Step-by-step explanation:
You find the area of the triangle with the dotted lines first:
[tex]\frac{1}{2}[/tex]*b*h
[tex]\frac{1}{2}[/tex]*9*6=
27
The area of the triangle including the dotted lines is 27 units²
Now we need to find the area of the small dotted triangle using the solid line triangle as a hypotenuse.
[tex]\frac{1}{2}[/tex]*b*h
[tex]\frac{1}{2}[/tex]*3*6=
9
The area of the small dotted triangle is 9 units²
To find the area of the solid lined triangle, you need to subtract the area of the small dotted line triangle (9 units²) from the triangle with the dotted lines (27 units²) which is:
27-9=18
The solid lined triangle is 18 units²
