Which of these expressions represent the
sum of the areas of the triangles shown?

Answer:
C. 3((x+4) + (x-2))
Step-by-step explanation:
Area of a triangle: [tex]\frac{1}{2}bh[/tex]
Area of the left triangle:
[tex]\frac{1}{2}(x+4)(6)[/tex]
The 6 multiplied by the 1/2 equals 3, so:
[tex]A = 3(x+4)[/tex]
Area of the right triangle:
[tex]\frac{1}{2}(x-2)(6)\\[/tex]
Again, the 6 multiplied by the 1/2 equals 3, so:
[tex]A= 3(x-2)[/tex]
Adding the two areas together equals:
[tex]3(x+4) + 3(x-2)[/tex]
We can factor out the 3 from both, giving us the final answer:
[tex]A = 3((x-4)+(x-2))[/tex]