Chapter 11.7, Problem 7WE

To determine

To Find: The scale factor and ratio of perimeter.

Answer to Problem 7WE

Scale factor: $3:8$

Ratio of perimeter: $3:8$

Explanation of Solution

Given: Ratio of areas is $9:64$

If two similar triangles have ratio of area is $a^2:b^2$ .

Then the ratio of perimeter and scale factor is same i.e. $a:b$ .

Here

  $\begin{array}{l}{a}^2:b^2=9:64\\ a=3\\ b=8\end{array}$

Thus

Scale factor is $3:8$ .

Ratio of perimeter is $3:8$ .