Question

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

Answer 1

C. 3((x+4) + (x-2))

Explanation:

Area of a triangle:
`(1)/(2)bh`

Area of the left triangle:

`(1)/(2)(x+4)(6)`

The 6 multiplied by the 1/2 equals 3, so:

`A = 3(x+4)`

Area of the right triangle:

`(1)/(2)(x-2)(6)\\`

Again, the 6 multiplied by the 1/2 equals 3, so:

`A= 3(x-2)`

Adding the two areas together equals:

`3(x+4) + 3(x-2)`

We can factor out the 3 from both, giving us the final answer:

`A = 3((x-4)+(x-2))`