A parallelogram is a quadrangle in which opposite sides are pairwise parallel and equal to each other.
If the ratio of the adjacent sides of the parallelogram is 2, then:
AB / BC = 2;
AB = 2 · BC.
Since in a parallelogram the opposite sides are equal, the sum of its adjacent sides is equal to its semi-perimeter:
AB + BC = P / 2;
For the convenience of the calculation, we express:
BC = x;
AB = 2 BC = 2x;
x + 2x = 24/2;
3x = 12;
x = 12/3 = 4;
BC = 4 cm;
AB = 4 ∙ 2 = 8 cm.
Answer: the length of the longer side of the parallelogram is 8 cm.
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