Question

what is the scale factor from the original figure to the scaled copy?
what is the length of the base in the scaled copy?
units

Explanation:

Step1: Find the scale factor

The original height is 12, and the scaled height is 36. The scale factor \( k \) is calculated by \( k=\frac{\text{Scaled Height}}{\text{Original Height}}=\frac{36}{12} = 3\).

Step2: Calculate the scaled base

The original base is 10. Using the scale factor \( k = 3\), the scaled base length is \( 10\times k=10\times3 = 30\).

Answer:

30