7

Set 8: Linear Equations

Explanation

Answer: C

The length of a rectangle is 3 more than twice its width. If the perimeter is 36, what is the width?

What is the width of the rectangle?

A.

4

B.

6

C.

5

✓ Correct
D.

7

Detailed Explanation

Choice C is correct. Let w = width. Length = 2 w + 3. Perimeter: 2 w + 2(2 w+3) = 36. So 2 w + 4 w + 6 = 36, 6 w = 30, w = 5.

Key Steps:

The correct answer is 5

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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