My Math Forum Area problem

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 May 21st, 2013, 02:16 PM #1 Newbie   Joined: May 2013 Posts: 24 Thanks: 0 Area problem Theres one small square with an area of 5, and one large square with an area of 125. the Problem asks for how many yards of fencing are needed to enclose the two squares. I thought the answer would be 104 to the sq.root of 5, but thats wrong.
 May 21st, 2013, 02:37 PM #2 Math Team   Joined: Apr 2010 Posts: 2,778 Thanks: 361 Re: Area problem How are the squares orientated to each other? For example like in 1 or in 2? (image not to scale)
 May 21st, 2013, 03:34 PM #3 Newbie   Joined: May 2013 Posts: 24 Thanks: 0 Re: Area problem like figure 2
 May 21st, 2013, 04:06 PM #4 Math Team   Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,989 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus Re: Area problem $4\sqrt{5}+20\sqrt{5}=25\sqrt{5}$
 May 21st, 2013, 04:32 PM #5 Newbie   Joined: May 2013 Posts: 24 Thanks: 0 Re: Area problem I believe you mean 24 sqrt5, but how do you get 20? I divided 125 by 5 = 25sqrt5. and 4x25=100sqrt for perimeter, which is wrong, and I'm wondering why/ how to get 20 as perimeter or 5 as side?
 May 21st, 2013, 04:57 PM #6 Newbie   Joined: May 2013 Posts: 24 Thanks: 0 Re: Area problem Nevermind, I figured out why its not 100. Thank you for the replies, appreciate it.
 May 22nd, 2013, 12:46 AM #7 Math Team   Joined: Apr 2010 Posts: 2,778 Thanks: 361 Re: Area problem I'd go to the teacher and tell it can be done with less
May 22nd, 2013, 02:36 AM   #8
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Re: Area problem

Quote:
 Originally Posted by Imaxium Theres one small square with an area of 5, and one large square with an area of 125. the Problem asks for how many yards of fencing are needed to enclose the two squares. I thought the answer would be 104 to the sq.root of 5, but thats wrong.
Hello!
I do not understand!What are the relative positions of the two squares?
Thank You!

May 22nd, 2013, 04:12 AM   #9
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Re: Area problem

Quote:
 Originally Posted by Dacu Hello! I do not understand!What are the relative positions of the two squares? Thank You!
[color=#000000]If you are talking about Hoempa's beautiful figure, it gives two possible relative positions. The first one describes the small square inside the bigger one, placed in the corner, in order for its two sides to be covered by the fence of the bigger square (we need less material by using this way). [/color]

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