5
algebra

The area of a rectangle is not typically solved with linear equations unless one dimension is known. If Area = 48 and Width = 6, and Length = 2x+42x + 4, find xx.

A

8

B

2

C

4

D

3

Correct Answer: B

Choice Bhoice C is the correct answer.

  1. Area Formula: A=L×WA = L \times W
  2. Substitute: 48=6(2x+4)48 = 6(2x + 4)
  3. Divide by 6: 8=2x+48 = 2x + 4
  4. Subtract 4: 4=2x4 = 2x
  5. Divide by 2: 2=x2 = x
  6. Verify: L=8L = 8. 6×8=486 \times 8 = 48 ✓

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.

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Linear Functions Set 31