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27. A playground is 72 feet wide. How wide would a scale drawing of the playground be if 3 inches represents 12 feet?

28. A scale drawing of a plant cell is 2.4 cm in length. What is the actual length of the cell if the drawing uses a scale of 8 cm : 1 mm?

29. A model car is 12 inches long. How long is the actual car if it was made with a scale factor of 1 in. : 16 in.?

30. A dollhouse was built with a scale factor of 1 in. : 12 in. The dollhouse is 48 inches long. What is the actual length of the house it represents?

Answer :

We are given that the scale factor of the dollhouse is
[tex]$$1 \text{ in.} : 12 \text{ in.},$$[/tex]
which means that 1 inch in the dollhouse represents 12 inches in the actual house.

The dollhouse measures 48 inches in length. To find the actual length of the house, multiply the dollhouse length by 12:

[tex]$$
\text{Actual length} = 48 \text{ in.} \times 12 = 576 \text{ in.}
$$[/tex]

Thus, the actual house is [tex]$\boxed{576}$[/tex] inches long.

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