3
algebra

A rectangle has perimeter 30. Length is 3 more than width. What is the length?

A

9

B

8

C

6

D

12

Correct Answer: A

Choice Ahoice C is the correct answer.

  1. Define: W=w,L=w+3W=w, L=w+3.
  2. Perimeter: 2(w+w+3)=302(w + w + 3) = 30
  3. Simplify: 2(2w+3)=304w+6=302(2w + 3) = 30 \rightarrow 4w + 6 = 30
  4. Subtract 6: 4w=24w=64w = 24 \rightarrow w = 6.
  5. Length: 6+3=96 + 3 = 9.

Choice Ahoice D is incorrect because this is the width.

Choice Ahoice B is incorrect because calculation error.

Choice Ahoice C is incorrect because calculation error.