1
algebra

The length of a rectangle is 2x+32x + 3 and the width is xx. If the perimeter is 42, what is the value of xx?

A

4

B

5

C

6

D

7

Correct Answer: C

Choice Choice C is the correct answer.

  1. Perimeter Formula: P=2(L+W)P = 2(L + W)
  2. Substitute: 42=2((2x+3)+x)42 = 2((2x + 3) + x)
  3. Simplify: 42=2(3x+3)42=6x+642 = 2(3x + 3) \rightarrow 42 = 6x + 6
  4. Subtract 6: 36=6x36 = 6x
  5. Divide by 6: x=6x = 6
  6. Verify: L=15,W=6L=15, W=6. 2(15+6)=422(15+6) = 42

Choice Choice B is incorrect because calculation error.

Choice Choice D is incorrect because calculation error.

Choice Choice D is incorrect because calculation error.