That depends how you define the perimeter for a cube. The term perimeter is usually used for plane figures, not for 3D solids.
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When the area of a square is 36cm2, its perimeter is: 24 cm
A square with a perimeter of 24 cm has an area of: 36 cm2
Perimeter = 24 cm so length of each side = 24/4 = 6 cm and so area = 6 cm * 6 cm = 36 cm2
A rectangle with sides of 1cm and 6cm has an area of 6 cm2 and a perimeter of 14 cm. A rectangle with sides of 2cm and 3cm has the same area but its perimeter is 10 cm.
Area = 289 sq cm so length of side = sqrt(289) = 17 cm Then perimeter = 4*side = 4*17 = 68 cm