Question

The figures below are similar. The labeled sides are corresponding.2 ft5 ftP1 = 6 ftP2 = ?What is the perimeter of the larger rectangle?P2 = feet

Answer 1

Step 1

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Step 2

To find the perimeter of the bigger rectangle, we use the ratio

`\begin{gathered} (2)/(5)=\frac{perimeter\text{ of small rectangle}}{Perimeter\text{ of larger rectangle}} \\ perimeter\text{ of small rectangle=6} \end{gathered}`
`\begin{gathered} (2)/(5)=(6)/(x) \\ x=\text{ perimeter of larger triangle} \\ 2x=30 \\ (2x)/(2)=(30)/(2) \\ x=15ft \end{gathered}`

Answer;

`Perimeter\text{ of larger rectangle=15feet}`