In a parallelogram, the perimeter is equal to 48. (1) if the length of one side is known to be 12, the length of each side can be obtained; (2) if AB = 2BC, the length of each side can be obtained; (3) if the diagonal AC and BD intersect at point O, the difference between the perimeter of △ AOD and △ AOB is 10, the length of each side can be obtained

In a parallelogram, the perimeter is equal to 48. (1) if the length of one side is known to be 12, the length of each side can be obtained; (2) if AB = 2BC, the length of each side can be obtained; (3) if the diagonal AC and BD intersect at point O, the difference between the perimeter of △ AOD and △ AOB is 10, the length of each side can be obtained

(1) Let AB = 12, then CD = AB = 12, ad = BC = 24-12 = 12, the lengths of each side are 12, 12, 12, 12 and 12 respectively; (2) AB + BC = 24, ab = 2BC, BC = 8, ab = 16, the lengths of each side are 8, 16, 8 and 16 respectively; (3) the difference between the circumference of ∵ AOD and ∵ AOB is 10, ∵ ad-ab = 10, ∵ AD + AB = 24, ∵ ab= 7, ad = 17, ad = BC = 17, CD = AB = 7, the length of each side is: 7, 17, 7, 17