In parallelogram ANRT, bisector AK divides the opposite side into parts: NK = 3 cm, KR = 1 cm

In parallelogram ANRT, bisector AK divides the opposite side into parts: NK = 3 cm, KR = 1 cm. Find the perimeter of parallelogram ANRT.

1. The bisector AK of the parallelogram АNRT cuts off the triangle АNK from it, which is

isosceles. Therefore, AN = NK = 3 centimeters.

2. NR = NK + RK = 3 + 1 = 4 centimeters.

3. The opposite sides of the parallelogram are equal. Therefore, AN = RT = 3 centimeters.

NR = AT = 4 centimeters.

4. The total length of all sides of the parallelogram (perimeter) AN + RT + NR + AT = 3 + 3 + 4 + 4

= 14 centimeters.

Answer: the total length of all sides of the parallelogram (perimeter) is 14 centimeters.