SOLUTION: johanna built a rectangular fence inside her garden that enclosed 102 square feet of land.If the length and width were both whole numbers which shows the least number of feet of fe

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Question 750541: johanna built a rectangular fence inside her garden that enclosed 102 square feet of land.If the length and width were both whole numbers which shows the least number of feet of fence johanna could have used
Found 2 solutions by FrankM, josmiceli:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
The greatest area a fence can surround in a rectangle is in h shape of a square. Let me offer a reason why.
If one side is a tiny bit longer, the adjacent side is shorter by the same amount.
(X-Y)(X+Y)=X^2-Y^2 so the maximum area is when Y= 0.
In your case, we can't have sqr(102) as a side, so with two sides adding to 51, I'll say 25x26 are the dimensions.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+102=+L%2AW+
You can try possibilities:
+102+=+51%2A2+
The perimeter = +2L+%2B+2W+
+2%2A51+%2B+2%2A2+=+106+ ft
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+102+=+17%2A6+
+2%2A17+%2B+2%2A6+=+46+ ft
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+102+=+34%2A3+
+2%2A34+%2B+2%2A3+=+74+ ft
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It looks like 46 ft is the least she can buy