10
algebra

The perimeter of a square is 48 cm. If the side length is represented by 2x+42x + 4, what is xx?

A

8

B

2

C

4

D

6

Correct Answer: C

Choice Dhoice C is the correct answer.

  1. Formula: 4s=P4(2x+4)=484s = P \rightarrow 4(2x + 4) = 48
  2. Divide by 4: 2x+4=122x + 4 = 12
  3. Subtract 4: 2x=82x = 8
  4. Divide by 2: x=4x = 4
  5. Verify: Side is 1212. 4(12)=484(12) = 48

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice B is incorrect because calculation error.