Set 15: Linear Equations (Intermediate)

Explanation

Answer: B

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

✓ Correct

Detailed Explanation

Choice B is correct. Choice C is the correct answer. 1. Equation: $x + (x + 2) + (x + 4) = 36$ 2. Combine: $3x + 6 = 36$ 3. Subtract 6: $3x = 30$ 4. Divide by 3: $x = 10$ 5. Verify: $10+ 12 + 14 = 36$ ✓ Choice A is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

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The correct answer is 10

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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