Question

figure b is a scale image of figure a, as shown. enter the scale factor applied to figure a to produce figure b. enter your answer as a fraction, like this: 42/53

Explanation:

Step1: Recall the formula for scale factor

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

Step2: Substitute the values

Here, the side length of Figure A is \(2.5=\frac{5}{2}\) and the side length of Figure B is \(7\). So \(k = \frac{7}{\frac{5}{2}}\).
Using the rule for dividing by a fraction (\(a\div\frac{b}{c}=a\times\frac{c}{b}\)), we have \(k=7\times\frac{2}{5}=\frac{14}{5}\).

Answer:

\(\frac{14}{5}\)