If a room is built with the same proportions as a 10 ft by 15 ft room, what width corresponds to a length of 18 ft?

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

If a room is built with the same proportions as a 10 ft by 15 ft room, what width corresponds to a length of 18 ft?

Explanation:
Maintaining the same proportions means scaling every dimension by the same factor, so the width-to-length ratio stays 2:3 (since 10 by 15 has width 10, length 15). If the new length is 18, the scale factor is 18/15 = 6/5. Multiply the width by that factor: 10 × 6/5 = 12. Alternatively, width = (2/3) × 18 = 12. The width is 12 ft.

Maintaining the same proportions means scaling every dimension by the same factor, so the width-to-length ratio stays 2:3 (since 10 by 15 has width 10, length 15). If the new length is 18, the scale factor is 18/15 = 6/5. Multiply the width by that factor: 10 × 6/5 = 12. Alternatively, width = (2/3) × 18 = 12. The width is 12 ft.

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