harleyko
harleyko harleyko
  • 13-04-2022
  • Mathematics
contestada

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

Which of these expressions represent the sum of the areas of the triangles shown class=

Respuesta :

Tigerwolf147
Tigerwolf147 Tigerwolf147
  • 13-04-2022

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]

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