Janie designed a miniature couch for a dollhouse based on her own couch. Janie's couch is feet long. The scale of the dollhouse is 1 inch : 2 feet. What is the length of the miniature couch for the dollhouse?

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1 answer

To convert the length of Janie's couch to the scale used in the dollhouse, we will use the scale of 1 inch : 2 feet.

Let's denote the length of Janie's couch as \( L \) feet. To find the length of the miniature couch in inches, we can use the scale as follows:

  1. Convert feet to inches by using the conversion:

    • 1 foot = 12 inches
  2. According to the scale, for every 2 feet of the actual couch, it will be 1 inch in the dollhouse.

So, to find the length of the miniature couch (in inches), we can use the formula:

\[ \text{Length in inches} = \frac{L}{2} \]

Example calculation: If Janie's couch is 6 feet long, \[ \text{Length in inches} = \frac{6 \text{ feet}}{2} = 3 \text{ inches.} \]

If you provide the specific length of Janie's couch, I can calculate the exact length of the miniature couch in inches for you.