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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?-example-1

1 Answer

8 votes

Answer:

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))

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