10
algebra

A triangle has sides of length xx, x+2x+2, and x+4x+4. If the perimeter is 36, what is xx?

A

6

B

10

C

12

D

8

Correct Answer: B

Choice Bhoice C is the correct answer.

  1. Equation: x+(x+2)+(x+4)=36x + (x + 2) + (x + 4) = 36
  2. Combine: 3x+6=363x + 6 = 36
  3. Subtract 6: 3x=303x = 30
  4. Divide by 3: x=10x = 10
  5. Verify: 10+12+14=3610 + 12 + 14 = 36 ✓

Choice Bhoice A is incorrect because calculation error.

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.

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Linear Functions Set 15