Square 1 has a side length of x, and square 2 has a side length of y. Square 2 is formed by joining the midpoints of the sides of square 1 in order. If x = 2, find the ratio of the perimeter of square 1 to the perimeter of square 2.

A. 2:1
B. 1:2
C. 1: Radical 2
D. 2: radical 2

Question

Square 1 has a side length of x, and square 2 has a side length of y. Square 2 is formed by joining the midpoints of the sides of square 1 in order. If x = 2, find the ratio of the perimeter of square 1 to the perimeter of square 2.

A. 2:1      
B. 1:2         
C. 1: Radical 2        
D. 2: radical 2

anonymous · Answer

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dbzfan836 · Answer

b, I think. @mathmate

anonymous · Answer

Is that correct, @mathmate

mathmate · Answer

Which square do you think has a larger perimeter, square 1 or square 2?

anonymous · Answer

I mean square 2

anonymous · Answer

Square one is bigger, but square 2 takes up more of the inner space.

mathmate · Answer

(b) says 1:2, which means square one has a perimeter equal to half of that of square 2.  That not logical, isn't it?
So see if you can give it another try!

anonymous · Answer

So, it would be the opposite 2:1

mathmate · Answer

Would the side length of square 2 be half of that of square 1?

mathmate · Answer

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anonymous · Answer

Oh, I see what you're saying. It would have to be 2: Radical 2 then

anonymous · Answer

Square 2 is less than square 1, right?

mathmate · Answer

Yes, actually sq.2 has half the area of sq.1

anonymous · Answer

So, I was right with 2:1

anonymous · Answer

You're confusing me! xD

mathmate · Answer

|dw:1404696159431:dw|
You can see that with the above diagram.