The perimeter of the parallelogram is 32 cm.Find the area if one of the corners is 60 cm larger

The perimeter of the parallelogram is 32 cm.Find the area if one of the corners is 60 cm larger than the right one, and one of the sides is 6 cm.

Opposite sides in a parallelogram are the same;

The sides of the parallelogram are 6 cm;

Then the bases = (32 – 6 – 6) / 2 = 10 cm;

If one of the angles of the parallelogram is 60 ° greater than the right angle and is equal to 150 °;

Then the acute angle is 180 ° – 150 ° = 30 °;

The height, which is the leg of a right-angled triangle, opposite to an angle of 30 °, is equal to half of the lateral side of the parallelogram, which is the hypotenuse:

h = 6/3 = 2 cm;

The area is equal to the product of the height and the base:

S = 2 * 10 = 20 cm².