The perimeter of the parallelogram is 26 cm, and the sum of the two sides is 22 cm.

The perimeter of the parallelogram is 26 cm, and the sum of the two sides is 22 cm. find the sides of the parallelogram.

A parallelogram is a quadrangle whose opposite sides are equal and parallel;
let a (cm) – one side of the parallelogram, b (cm) – the other side, not parallel to side a and not equal to it;
The perimeter of the parallelogram is P = 2 * (a + b);
then 26 = 2 * (a + b), so (a + b) = 26/2 = 13 (cm);
so 13 cm is the sum of two DIFFERENT (NOT parallel) sides of the parallelogram, so 22 cm is the sum of two identical sides, then one side = 22/2 = 11 cm, and the second = 13 – 11 = 2 cm;
Answer: the sides of the parallelogram: 11, 11, 2, 2 (everything is in centimeters).