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what is the greatest perimeter of a rectangle with an area of 39 square feet

Sagot :

AL2006

There is no greatest perimeter.  The longer and skinnier you make the rectangle,
the greater its perimeter becomes, even though its area remains the same.

Look at this:

√39 by √39,  Area = 39,  Perimeter = 4 √39 = about 24.98
6 by 6.5,  Area = 39,  Perimeter = 25
3 by 13,  Area = 39,  Perimeter = 32
2 by 19.5,  Area = 39,  Perimeter = 43
1 by 39,  Area = 39,  Perimeter = 80
0.1 by 390,  Area = 39,  Perimeter = 780.2
0.00001 by 3,900,000,  Area = 39,  Perimeter = 7,800,000.2