A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 units, what is the width of the rectangle? The width is _________ units.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to set up and solve a multi-step equation in a real-world context. The problem involves the relationship between the length and width of a rectangle and the formula for the perimeter.
Key Concept Explanation
The student must use the given information to set up an equation for the perimeter of the rectangle and then solve for the width. The key is to express the length in terms of the width and then use the perimeter formula.
Step-by-step Solution
1. Let the width be . Then the length is .
2. The perimeter of the rectangle is given by .
3. Substitute the expressions for length and width:
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