SOLUTION: What are length and width of rectangle with an area of 59 square units? What is perimeter?

Question 606207: What are length and width of rectangle with an area of 59 square units? What is perimeter?
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
This has MANY answers....
We know that the area of a rectangle is

So we have:

But we can substitute in any number for L and get a corresponding W. (If it was a square however, there would only be one answer as we substitute L=W and solve for W.
With the perimeter the same problem remains. Once we have a L and W we have:

But due to the fact that there are many such L and W, there are just as many perimeters.

Hopefully this clears things up a bit, if there was any more specifications with the question Let me know so I can be more clear with my answer.

Okay, using the new information, if we want the smallest rectangle with whole number lengths and widths-- we know that the smallest length we can have is 1 making the width 59 (not that this is smaller perimeter than if we had a square with area 59 and any other rectangles with that area with whole number lengths).
From here, you can use the above formula and find perimeter. :)
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