A rectangle has a length of 10 inches and a width of 6 inches. If the length is increased by a factor of 2, what should the new width be to maintain the same ratio? The new width is ________ inches.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the concept of proportions to a geometric scenario. The problem involves maintaining the same ratio of length to width when the length is increased.
Key Concept Explanation
Proportions are used to compare two ratios and find an unknown value. In this case, the ratio of length to width is given, and students need to use this ratio to find the new width when the length is increased.
Step-by-step Solution
1. Identify the given ratio: 10 inches (length) to 6 inches (width).
2. Determine the new length: 10 inches * 2 = 20 inches.
3. Set up the proportion:
4. Cross-multiply:
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