Veronica was asked to scale a square of quilt fabric with a side length of 50 cm using a scale factor of 30%. What is the new side length of the square?

1. Break Down the Problem

We need to find the new side length of a square when a scale factor is applied. Given that the original side length is 50 cm and the scale factor is 30%, we will perform the following steps:

• Calculate the reduction in size due to the scale factor.
• Add the calculation steps to find the new side length.

2. Relevant Concepts

The scale factor is a percentage that indicates how much to resize the original measurement. In this case, a scale factor of 30% means that the new dimensions will be 30% of the original.

3. Analysis and Detail

To find the new side length:

1. Calculate 30% of the original side length of 50 cm: $\text{New side length} = \text{Original side length} \times \text{Scale factor}$ $\text{New side length} = 50 \, \text{cm} \times 0.30$ $\text{New side length} = 15 \, \text{cm}$

4. Verify and Summarize

The computed side length obtained from applying the scale factor is 15 cm, which is in accordance with the 30% scaling of the original side length.

Final Answer

The new side length of the square is $15 \, \text{cm}$.