## Compassionate one year ago The area of triangle B is 25 times greater than the area of triangle A.The perimeter of triangle B is how many times greater than the perimeter of triangle A?

1. Compassionate

@Ashleyisakitty , @zepdrix

2. KendrickLamar2014

The scale factor in area is squared. Since the scale factor of the areas are 1:25, you take the square root of both, and your result is the new scale factor.

3. KendrickLamar2014

Do you have any answer choices?

4. Compassionate

This isn't a test, so no.

5. KendrickLamar2014

Ok, well when you take the Square root of 1 and 25 you get the scale factor 1:5, so the answer would be 5 times greater.

6. Compassionate

I get that, but could you visually expain it

7. KendrickLamar2014

What do you mean visually?

8. Compassionate

So, like, could you draw a graph or explain it that way? My mind is melted from studying

9. KendrickLamar2014

lol ok give me a sec.

10. KendrickLamar2014

|dw:1432789457119:dw|

11. KendrickLamar2014

|dw:1432789574114:dw|

12. rational

|dw:1432789693624:dw|

13. Compassionate

Thank you

14. Compassionate

Also, great drawing, @rational

15. rational

np Heron's formula : $$A = \sqrt{s(s-a)(s-b)(s-c)}$$ if you scale each side by a factor of $$k$$, the new area would be : $$A' = \sqrt{ks(ks-ka)(ks-kb)(ks-kc)} = \sqrt{k^4s(s-a)(s-b)(s-c)}=k^2A$$

16. Compassionate

yes