## gwynne8188 3 years ago a gardener has 46ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. if the length of the garden is to be twice its width, what will be the dimensions of the garden?

1. Hero

|dw:1328999809861:dw| Can you figure it out from here?

2. gwynne8188

so it would be 2(2x+4)+2(x+4)=P ?

3. Hero

What does P equal?

4. Hero

You can always count on mertsj to crash the party

5. gwynne8188

p=perimeter....so that equation would be correct tho?

6. Hero

What do you think the 46 is for?

7. gwynne8188

ahhh i wasn't sure...

8. dave444

There are 46 feet of fence, so P=46.

9. Hero

Mertsj, when you see me helping a student, I don't think you should interfere like that. You're the only person here that does that and I don't appreciate it. I will be discussing this with the mods. I've asked you countless times to respect my wishes, but you continue to ignore me.

10. gwynne8188

you are my hero, hero! i appreciate that you didnt give me the final answer so that i could try and figure it out myself

11. Hero

Okay, not to worry. I will discuss this issue with the mods and hopefully get a resolution we can all agree with. The only problem is, mertsj seems to not want to communicate with me, which makes the matter much more difficult. I will be directing the mods and administrators to this chat. Thanks for providing your feedback regarding this. That helps a lot.

12. gwynne8188

ok, so part b of this problem is finding the area of the garden. if the area is the length times the width would the equation be a=(x+4)(2x +4) and would a=46 squared?

13. Hero

Yes, however, it will be much more easier to solve if you use the first equation you created to solve for x.

14. Hero

The one you created where you included the P variable.

15. gwynne8188

oh so just plug in 5 for x?

16. Hero

Precisely :)

17. gwynne8188

i got a=126 but the book says the answer is 50 sq ft...

18. Hero

So me the work you did to find the area

19. Hero

Show all of your work actually...For both perimeter and area

20. gwynne8188

a= (x+4)(2x+4) a= (5+4)(2(5)+4) a=(9)(14) a=126

21. gwynne8188

p=2(x+4)+2(2x+4)=46 2x+8+4x+8=46 6x+16=46\ 6x=30 x=5; 2x=10 5 by 10

22. Hero

Yes, that is correct. Is that your corrected solution?

23. gwynne8188

the book says the area is 50 sq ft, not 126

24. Hero

The solution is indeed 50. For next time, you have to read the question more carefully so that you can avoid making such mistakes.

25. gwynne8188

ohhhhh so the inside then not the fencing....

26. Hero

Read the original question again

27. Hero

It asked for the dimensions of the garden, not the fencing

28. Hero

But you know that now...

29. Hero

So great job

30. gwynne8188

haha ok so a gardener has 46 ft of fencing to be used to enclose a rectangular garden that has a border of 2 ft wide surrounding it. so the area of that would be a=2x?

31. gwynne8188

are you there?

32. Hero

But you already calculated the correct area. I don't understand how you're still confused about this.