Set 10: Linear Equations (Advanced)

Explanation

Answer: C

The side of a square is $3x - 2$ . If the perimeter is 40, what is $x$ ?

✓ Correct

Detailed Explanation

Choice C is correct. Choice A is the correct answer. 1. Perimeter Formula: $P = 4 s$ 2. Substitute: $40= 4(3 x - 2)$ 3. Divide by 4: $10= 3 x - 2$ 4. Add 2: $12= 3 x$ 5. Divide by 3: $4= x$ 6. Verify: Side is $10$ . $4(10) = 40$ ✓ Choice B 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:

•

The correct answer is 4

Why others are wrong:

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

B: Choice B 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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