If the square's length and width are 1 and we're asking about 5/9 of the area of a square then:
The area is 5/9.
Sides = sqrt(5)/3
Perimeter = 2L + 2W
Perimeter = 2sqrt(5)/3 + 2sqrt(5)/3
Perimeter = 4sqrt(5)/3
Answer: Perimeter is 4sqrt(5)/3 and area is 5/9.
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If the square's length and width are 1 and we're asking about 5/9 of each side of the square then:
Area = L * W
Area = 5/9 * 5/9
Area = 25/81
Perimeter = 2L + 2W
Perimeter = 2(5/9) + 2(5/9)
Perimeter = 20/9
Answer: Perimeter = 20/9 and area = 25/81