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To find the length of the room on the blueprint, we can set up a proportion based on the scale provided. Since 14 inches on the blueprint represents 2 feet in reality, we can calculate the blueprint length for 20 feet using the ratio:

[ \text{Blueprint length} = \frac{14 \text{ inches}}{2 \text{ feet}} \times 20 \text{ feet} = 140 \text{ inches}. ]

Therefore, the length of the room on the blueprint would be 140 inches.

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