If the perimeter of the diamond is 8cm and the ratio of degree of two adjacent angles is 1:2, the area of the diamond is

If the perimeter of a diamond is 8 cm, its side length is 2 cm
If the ratio of the degree of two adjacent angles is 1:2, the smaller angle is 180 ° / (1 + 2) = 60 °
Connect the two diagonals, the length is 2 and 2 √ 3 respectively
Diamond area: 2 × 2 √ 3 △ 2 = 2 √ 3 (square centimeter)
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