Annetta_Martin 2 years ago Three congruent kites are placed together edge-to-edge as shown. The bottom edge is 4x and the top edge is x. How much bigger than the perimeter of a one kite is the perimeter of the entire figure?

1. Annetta_Martin

2. Annetta_Martin

@Luis_Rivera @timo86m @kropot72 @mth3v4

3. timo86m

perimeter of one kite is 2x+2*4x perimeter of whole figure is 2*4x+6x so you do a ratio (2*4x+6x)/(2x+2*4x) that is answer

4. timo86m

7/5

5. genius12

Just count. The entire figure has 6 small kite sides and 2 long sides. That's\[2(4x)+6(x)=14x \] One kite has 2 small sides and 2 long sides which is: \[2x+8x=10x\] The difference then becomes \(14-10x=4x\). So the large perimeter is longer by a difference of 4x than the small perimeter.

6. Annetta_Martin

Well I thought the answer was 6x? No?

7. Annetta_Martin

Ohhh, ok! I see what I did wrong now...

8. Annetta_Martin

It is 4x :)

9. Annetta_Martin

You're right, thank you

10. genius12

No problem.

11. timo86m

how do i know i am right?

12. genius12

cuz ur wrong. :D

13. timo86m

who is right?

14. genius12

idk what do you think?

15. genius12

7/5 is the ratio of the perimeter which means that the larger one is 1.4 times longer. But it doesn't give us the exact difference, i.e exactly by how much is it longer? And that's the question...

16. timo86m

how much longer lol ok.