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?

- anonymous

- katieb

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- Hero

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Can you figure it out from here?

- anonymous

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

- Hero

What does P equal?

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## More answers

- Hero

You can always count on mertsj to crash the party

- anonymous

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

- Hero

What do you think the 46 is for?

- anonymous

ahhh i wasn't sure...

- anonymous

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

- 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.

- anonymous

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

- 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.

- anonymous

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?

- Hero

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

- Hero

The one you created where you included the P variable.

- anonymous

oh so just plug in 5 for x?

- Hero

Precisely :)

- anonymous

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

- Hero

So me the work you did to find the area

- Hero

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

- anonymous

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

- anonymous

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

- Hero

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

- anonymous

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

- 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.

- anonymous

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

- Hero

Read the original question again

- Hero

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

- Hero

But you know that now...

- Hero

So great job

- anonymous

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?

- anonymous

are you there?

- Hero

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

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