It is known that the ratio of the degrees of the two adjacent corners of the diamond is 1:2 and the perimeter is 16 cm. What is its area

It is known that the ratio of the degrees of the two adjacent corners of the diamond is 1:2 and the perimeter is 16 cm. What is its area

The ratio of the degrees of the two adjacent corners of the diamond is 1:2, and the degrees of the two adjacent corners are 60120;
Then the short diagonal is equal to the side length, and the long diagonal is three times the root of the short diagonal
The perimeter of the diamond is 16 cm, the side length is 4 cm, and the area is 0.5 * 4 * 4 √ 3 = 8 √ 3 square cm