Posted by idk on Tuesday, February 19, 2013 at 12:48am.
I largest area of a rectangle is obtained when that rectangle is a square, so
x^2 = 48
x = √48 = 4√3 = appr 6.9 or 7 as a whole number.
She will need 4(7) or 28 ft of fencing
If the rectangle is 6 ft by 8 ft, then the area will be exactly 48 ft^2
and the perimeter would be 2(6) + 2(8) = 28 ft
notice that if the rectangle is 7 by 7, we get an area of 49 ft^2, so using the same perimeter as the 6 by 8 rectangle we get a larger area.
Either way, the least amount of fencing she needs is 28 ft
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