Set 17: Linear Equations (Advanced)

Choice B is correct. Choice C is the correct answer. 1. Define: Width = $w$, Length = $3w - 2$. 2. Perimeter: $2(3 w - 2) + 2 w = 36$ 3. Simplify: $6w - 4 + 2 w = 36 \rightarrow 8 w = 40$ 4. Divide by 8: $w = 5$ 5. Length: $3(5) - 2 = 13$ 6. Verify: $2(13) + 2(5) = 26 + 10 = 36$ ✓ Choice C is incorrect because this is the width. Choice D is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process.