The problem shows that Jazlyn is using a scale of 5 cm : 1 ft for her drawing of a rectangular rug. The dimensions of the rug in the drawing are given as 25 cm for the length and 16 cm for the width.

To find the actual dimensions of the rug, we need to convert the drawing measurements from centimeters to feet using the given scale.

Step-by-step solution:

1. Length of actual rug: $\text{Length in feet} = \frac{\text{Length in cm}}{\text{Scale (cm per ft)}} = \frac{25}{5} = 5 \, \text{ft}$

2. Width of actual rug: $\text{Width in feet} = \frac{\text{Width in cm}}{\text{Scale (cm per ft)}} = \frac{16}{5} = 3.2 \, \text{ft}$

Final Answer:

• Length of actual rug: 5 feet
• Width of actual rug: 3.2 feet

Would you like more details or have any questions?

Here are 5 related questions you might explore:

1. How do you verify if a drawing scale is accurate for different shapes?
2. What if the scale was 2 cm to 1 ft? How would that change the actual dimensions?
3. How would you calculate the area of the actual rug based on these dimensions?
4. How would the process change if the drawing was done using inches instead of centimeters?
5. How can scale factors be applied in architectural drawings?

Tip: When working with scales, always double-check your units and ensure that the ratio is applied consistently throughout the problem.