3
algebra

The side of a square is 3x23x - 2. If the perimeter is 40, what is xx?

A

3

B

10

C

4

D

12

Correct Answer: C

Choice Dhoice A is the correct answer.

  1. Perimeter Formula: P=4sP = 4s
  2. Substitute: 40=4(3x2)40 = 4(3x - 2)
  3. Divide by 4: 10=3x210 = 3x - 2
  4. Add 2: 12=3x12 = 3x
  5. Divide by 3: 4=x4 = x
  6. Verify: Side is 1010. 4(10)=404(10) = 40

Choice Dhoice B is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice C is incorrect because calculation error.