## anonymous one year ago A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of b in the drawing below:

1. anonymous

2. jennyrlz

hello :)

3. Michele_Laino

since the pools are similar each to other, then we can write these proportions: $\Large \begin{gathered} 14:7 = 22:b \hfill \\ \hfill \\ 14:7 = 16:c \hfill \\ \hfill \\ 14:7 = a:9 \hfill \\ \end{gathered}$

4. anonymous

so that is the whole answer sir,?

5. jennyrlz

@Michele_Laino what does the "Q" untop of your score mean?

6. Michele_Laino

it means that I am a Qualified Helper of OpenStudy

7. jennyrlz

Wow, nice :)

8. Michele_Laino

thanks! :)

9. jennyrlz

@idontmind 22/b=14/7

10. Michele_Laino

please, you have to solve the first proportion in order to find the value of b

11. jennyrlz

ill leave this to you :)

12. Michele_Laino

ok! :)

13. Michele_Laino

If I apply the fundamental property of proportions, I can write: $\Large b = \frac{{22 \times 7}}{{14}} = ...?$

14. anonymous

is the proportion 7

15. Michele_Laino

what is: $\Large b = \frac{{22 \times 7}}{{14}} = ...?$

16. anonymous

00.9

17. Michele_Laino

hint: $\Large b = \frac{{22 \times 7}}{{14}} = \frac{{154}}{{14}} = ...?$

18. Michele_Laino

what is 154: 14 =...?

19. anonymous

is it 9 @Michele_Laino I got disconnected sorry

20. Michele_Laino

hint: 154:14 = 11 right?

21. anonymous

because of 22 right?

22. Michele_Laino

yes!

23. Michele_Laino

so, we have: b=11

24. jennyrlz

Just wondering why did you get b=22*7/14 instead of 22*87/14b?

25. anonymous

oh ok so is that partially the answer

26. Michele_Laino

since the pool for dog is scaled by a factor 1/2 with respect to the other pool, so b has to be 22/2=11

27. jennyrlz

That is the answer idontmind :)

28. anonymous

OOOOOOOOO I GET IT!!!! THANKS!!!

29. Michele_Laino

:)

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