Chapter 11.7, Problem 10CE

To determine

To Find: The scale factor and ratio of perimeter.

Answer to Problem 10CE

Scale factor: $4:7$

Ratio of perimeter: $4:7$

Explanation of Solution

Given: Ratio of areas is $16:49$

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

  $a^2:b^2=16:49$

Thus

Scale factor is $4:7$ .

Ratio of perimeter is $4:7$ .