Set 17: Linear Equations (Intermediate)

Explanation

Answer: C

The perimeter of a square is 48 cm. If the side length is represented by $2x + 4$ , what is $x$ ?

✓ Correct

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Formula: $4s = P \rightarrow 4(2 x + 4) = 48$ 2. Divide by 4: $2x + 4 = 12$ 3. Subtract 4: $2x = 8$ 4. Divide by 2: $x = 4$ 5. Verify: Side is $12$ . $4(12) = 48$ ✓ Choice C 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 B 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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