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?

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?

• A. 18
• B. 24
• C. 30
• D. 28

Answer: (B)

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.