Question

a rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. what is the perimeter of the enlarged rectangle? the perimeter of the enlarged rectangle is inches.

Explanation:

Step1: Recall perimeter scaling

When a figure is enlarged by a scale factor \( k \), the perimeter scales by the same factor \( k \).

Step2: Calculate enlarged perimeter

Original perimeter \( P = 12 \) inches, scale factor \( k = 3 \).
Enlarged perimeter \( = 12\times3 = 36 \) inches.

Answer:

36