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We have two squares. The ratio of the perimeter of the big square to the perimeter of the little square is 5 : 2. What is the ratio of the area of the big square to the area of the little square?

 

I don't know where to start

 

I have feeling you have to split the ratio into fourths then I'm not sure where to go from there

 Oct 24, 2022
 #1
avatar+118132 
+2

If the ratio of the perimeter of the squares is  5:2

Then .. What is the ratio of the sides of the squares.  Draw a pick and think about it.   I'll continue after you answer.

 

Hint:

5:2 is the same as   20:8    Do you see why?

20:8 is easier to work with.  

Let the squares have a perimeter of  20 and 8 respecively.  How long are the sides.?

 Oct 24, 2022
edited by Melody  Oct 24, 2022
 #2
avatar+48 
+1

so you would split 20 and 8 into fourths?  I am confused

 Oct 25, 2022
 #3
avatar+118132 
+1

You have a square.  All the sides are the same. the perimeter is 20 what is the side length?

Then what is the area of this square?

 

You have a another square.  All the sides are the same. the perimeter is 8 what is the side length?

Then what is the area of this square?

Melody  Oct 26, 2022
 #4
avatar+48 
+1

so it would be 25:4?

 Oct 27, 2022
 #5
avatar+118132 
+1

Yes, that is right, good work.

Melody  Oct 28, 2022

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