A rectangular room has width 8 ft and length 12 ft. If another room maintains the same proportions with a width of 16 ft, what is its length?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

A rectangular room has width 8 ft and length 12 ft. If another room maintains the same proportions with a width of 16 ft, what is its length?

Explanation:
Keeping the same proportions means the width to length ratio stays constant. The original room has a width of 8 and a length of 12, so the ratio is 8:12, which simplifies to 2:3. If the width doubles to 16, the length must also double to maintain the same 2:3 ratio. Doubling 12 gives 24, so the length is 24.

Keeping the same proportions means the width to length ratio stays constant. The original room has a width of 8 and a length of 12, so the ratio is 8:12, which simplifies to 2:3. If the width doubles to 16, the length must also double to maintain the same 2:3 ratio. Doubling 12 gives 24, so the length is 24.

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