Chapter 11.7, Problem 6CE

To determine

To Find: The ratio of perimeter and ratio of areas.

Answer to Problem 6CE

Perimeter: $3:4$

Area: $9:16$

Explanation of Solution

Given: Scale factor is $3:4$

If scalar factor of two similar triangles is $a:b$ .

Then the ratio of perimeter is $a:b$ and area is $a^2:b^2$

Here

  $a:b=3:4$

Thus

Ratio of perimeter is $3:4$ .

Ratio of areas.

  $\begin{array}{l}{a}^2:b^2=3^2:4^2\\ =9:16\end{array}$