Question

3. Find the scale factor using the given scale drawings and measurement below

Answer 1

The question asks to find the scale factor for given scale drawings and measurements. A scale factor is computed by creating a ratio comparing the measurement of the scale drawing to the actual measurement, simplifying that ratio to find the scale factor.

Step-by-step explanation:

The subject of the question is concerned with finding the scale factor from a given scale drawing and measurements. In mathematics, particularly in geometry, a scale factor is used to transform the size of a figure without altering its shape.

Step-by-Step Explanation

To find the scale factor for each given scale drawing, you will need to create a ratio or a fraction that compares the scale measurement to the actual measurement. Here’s how you might solve one of the problems:

Example: What is the scale factor if 3 inches is equal to 12 feet?

Solution:

1. Convert all measurements to the same unit, for instance, turn feet into inches (1 foot = 12 inches).
2. Write the ratio of the scale drawing to the actual measurement.
3. Reduce the ratio to its simplest form to find the scale factor.

Answer 2

Actual = 3cm
Scale=5cm

3x=5
3/3x=5/3
X=5/3

The scale factor is 5/3.