Question

Dr. Kolitsch is planning to build a dollhouse. She purchased a set of plans for the dollhouse, but she wants to make her dollhouse larger. Her dollhouse will be a total of 54 inches wide. Based on the plans given below, what should the new dimensions of Dr. Kolitsch's dollhouse be? You will need to compute new numbers for every dimension shown on the dollhouse plans.

Answer 1

To determine the new dimensions of Dr. Kolitsch's dollhouse, we would need the original measurements or the scale used in the plans. Using a scale factor, one can then apply it to each dimension to achieve the new desired size. Example problems involving scale and measurement have been reviewed to illustrate this concept.

Step-by-step explanation:

Dr. Kolitsch's goal is to resize the dimensions of a dollhouse based on the existing plans. The new width of the dollhouse is going to be 54 inches. To find the new dimensions, we would need the original scale used in the plans or the actual dimensions of the dollhouse. Without this information, we cannot provide the new dimensions. However, generally speaking, to resize any model, a scale factor is determined and applied to all existing measurements.

Let's review some problems related to scale and measurement to understand the concept better:

1. To determine the height of Haley's school in her scale model, divide the actual height by the scale: 30 feet / 6 = 5 inches.
2. The width of the school model would be 120 feet / 6 = 20 inches.
3. The length in the scale model is 180 feet / 6 = 30 inches.
4. For Eddie's map, the distance between the post office and City Hall is 56 meters / 8 = 7 centimeters.

We also encounter problems that involve computing the length of items using a scale factor. For example, with a scale factor of 1/36, the model boat would be 24 feet x 12 inches per foot / 36 = 8 inches long.