The maximum area is just under 3.9 sq feet [exactly (3/2)2*sqrt(3) sq ft] - an area that is attained by an equilateral triangle. Since the question specifies an isosceles triangle, the answer is very very slightly less than that.
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Perimeter = 10 + 10 + 12 = 32 units. Area = 48 square units
It is an isosceles triangle with a perimeter of 26+(4 times square root of 13) linear units and an area of 78 square units
The perimeter of the square is 96.
If you mean vertices of (-1, 4) (2, 7) and (1, 5) then it is an isosceles triangle with a perimeter of square root of 18 plus square root of 5 plus square root of 5 which is about 8.715 rounded to three decimal places.
Draw an isosceles triangle with sides 4, 4 and 3 Draw a square with sides 2 and 3/4