Question

figure b is a scaled copy of figure a.
figure a
14
16
7
figure b
56
64
28
what is the scale factor from figure a to figure b?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from Figure \(A\) to Figure \(B\) is given by \(k=\frac{\text{length in Figure }B}{\text{length in Figure }A}\).

Step2: Choose a pair of corresponding sides

Let's use the sides of length \(7\) (in Figure \(A\)) and \(28\) (in Figure \(B\)).

$$k = \frac{28}{7}$$

Step3: Calculate the value

$$k=4$$

We can check with another pair of sides. For example, using \(14\) (Figure \(A\)) and \(56\) (Figure \(B\)): \(\frac{56}{14} = 4\), and using \(16\) (Figure \(A\)) and \(64\) (Figure \(B\)): \(\frac{64}{16}=4\).

Answer:

\(4\)