Math Problem Statement

If the original is 12 units and the scale factor is 1/4, what is the size of the scale drawing?

Solution

The question asks: If the original is 12 units and the scale factor is 14\frac{1}{4}, what is the size of the scale drawing?

To solve this, we multiply the original size by the scale factor:

Size of the scale drawing=12×14=12×0.25=3\text{Size of the scale drawing} = 12 \times \frac{1}{4} = 12 \times 0.25 = 3

Thus, the size of the scale drawing is 3 units, which corresponds to option b).

Do you need more details on this solution or have any questions?

Here are 5 related questions:

  1. How would the scale drawing change if the scale factor were 12\frac{1}{2}?
  2. What would the original size need to be for a scaled size of 4 units at a 14\frac{1}{4} scale?
  3. How do you calculate a scale factor when given the original and scaled size?
  4. If the scale factor were 22, what would the size of the scale drawing be?
  5. How does a scale factor less than 1 affect the dimensions of an object?

Tip: Always multiply the original measurement by the scale factor to find the size of a scaled drawing or object.

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Math Problem Analysis

Mathematical Concepts

Scaling
Multiplication
Proportions

Formulas

Size of the scale drawing = Original size * Scale factor

Theorems

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Suitable Grade Level

Grades 6-8