To find the length of the miniature couch for the dollhouse, we first need to convert Janie's couch length from feet to inches, since the scale is given in inches.
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Janie's couch is 7 1/2 feet long. We'll convert this to inches: \[ 7 \text{ feet} = 7 \times 12 \text{ inches} = 84 \text{ inches} \] \[ \frac{1}{2} \text{ foot} = \frac{1}{2} \times 12 \text{ inches} = 6 \text{ inches} \] Adding these together: \[ 84 \text{ inches} + 6 \text{ inches} = 90 \text{ inches} \]
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Now we will apply the scale of the dollhouse, which is 1 inch for every 2 feet. To determine the length in inches for the miniature couch:
- Since 1 inch on the dollhouse scale represents 2 feet, we will divide the total inches of the actual couch by 24 (because there are 24 inches in 2 feet): \[ \text{Length of miniature couch} = \frac{90 \text{ inches}}{24} \] \[ = 3.75 \text{ inches} \]
So, the length of the miniature couch for the dollhouse is 3.75 inches.
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