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Answer :
Final answer:
The simplified ratio by a factor of 4 (16 ft / 4), resulting in a length of 20 feet.
Explanation:
First, we need to determine the ratio of width to length of the dining room using the provided dimensions. The dining room is 12 feet wide by 15 feet long, so the ratio is 12:15, which simplifies to 4:5.
Since the recreation room shares the same ratio and has a width of 16 feet, we must increase both terms of the ratio by the same factor to maintain the aspect ratio while fitting the recreation room's width.
This factor is the recreation room's width (16 feet) divided by the width term of the ratio (4), which is 4. Multiplying the length term of the ratio (5) by this factor, we get 5 x 4, which equals 20 feet. Hence, the length of the recreation room is 20 feet.
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Rewritten by : Jeany
