Question

27. If figure A and figure B are similar with a ratio of similarity of 2, and the perimeter of figure A is 28 units,what is the perimeter of figure B?

Answer 1

Since the two shapes are similar, that is A and B similar with a ratio of 2, then we have that

`\begin{gathered} \frac{length\text{ A}}{lemgth\text{ B}}=(2)/(1)=\frac{perimeter\text{ A}}{perimeter\text{ B}} \\ (2)/(1)=\frac{perimeter\text{ A}}{perimeter\text{ B}} \\ (2)/(1)=\frac{28}{perimeter\text{ B}} \end{gathered}`

Cross multiplying we have

`\begin{gathered} 2Perimeter\text{ B = 28} \\ Perimeter\text{ B = }(28)/(2) \\ =14\text{ units } \end{gathered}`

hence the answer is 14 units