Question
Given the the length ratio is
What would the perimeter ratio be?
What would the perimeter ratio be?
Ask by Elliott Lyons. in the United States
Dec 10,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The perimeter ratio is
.
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Bonus Knowledge
If the length ratio of two figures is
, the perimeter ratio will be the same as the length ratio. So, the perimeter ratio is also
. This is because perimeters are directly proportional to the lengths of corresponding sides in similar figures. If those side lengths scale by a certain ratio, so will the perimeters!
To visualize this, think of two similar triangles; if the sides of one triangle are 7 units and the corresponding sides of the other are 9 units, when you add up their boundaries, their perimeters will maintain that same 7 to 9 ratio!