Similar Polygons: Finding Side Length Ratio from Areas 20 and 80

There are two similar polygons.

The area of the first polygon is 20 and the area of the second polygon is 80.

What is the ratio between their lengths of the sides?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the ratio between the side lengths of the polygons
00:03 Let's label each polygon with A and B
00:15 The square of the similarity ratio equals the ratio of the polygons' areas
00:30 Let's substitute appropriate values and solve
00:43 Let's factor 80 into (4) and (20) and reduce
00:47 This is the similarity ratio squared
01:06 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

There are two similar polygons.

The area of the first polygon is 20 and the area of the second polygon is 80.

What is the ratio between their lengths of the sides?

3

Final Answer

1:3

Practice Quiz

Test your knowledge with interactive questions

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Mathematics questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Similar Triangles and Polygons

Square Area Calculation: Finding Area B Using 2/3 Ratio and 56-Unit Perimeter
Click to solve
Similar Rectangles: Finding Area Ratio with 9:8 Side Length Proportion
Click to solve