The bisector CK of the angle ВСD of the parallelogram ABCD divides the side AD into the segments AK

The bisector CK of the angle ВСD of the parallelogram ABCD divides the side AD into the segments AK = 3 and КD = 5. Find the perimeter of this parallelogram.

1. The bisector of the CК divides the parallelogram into two geometric shapes. One of them is the CDK triangle, which, according to the properties of the parallelogram, is isosceles. Therefore, DK = CD = 5 units of measurement.

2. АD = 3 + 5 = 8 units of measurement.

3.Considering that, according to the properties of the parallelogram, the sides opposite each other (opposite) are equal, the perimeter (P) of this geometric figure is calculated by the formula:

P = (2AD + 2CD) = 2 x 8 + 2 x 5 = 26 units.