Chapter 11.7, Problem 8CE

To determine

To Find: The scale factor and ratio of areas.

Answer to Problem 8CE

Scale factor: $4:5$

Area: $16:25$

Explanation of Solution

Given: Perimeter is $4:5$

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

Then the ratio of perimeter and scale factor is same i.e. $a:b$ and area is $a^2:b^2$

Here

  $a:b=4:5$

Thus

Scale factor is $4:5$ .

Ratio of areas.

  $\begin{array}{l}{a}^2:b^2=4^2:5^2\\ =16:25\end{array}$