In parallelogram ABCD, the bisector of angle B BK divides the side AD into segments AK = 4 cm KD = 5 cm. Find a perimeter?

univerkov | August 7, 2021 | education

1. The bisector BK of the parallelogram ABCD cuts off the triangle ABK, which is isosceles. Therefore, AB = BK = 4 centimeters.

2. AD = DK + AK = 5 + 4 = 9 centimeters.

3. Opposite sides of a parallelogram are equal. Therefore, AB = CD = 4 cm, BC = AD = 9 centimeters.

4. The total length of all sides of the parallelogram (perimeter) = AB + CD + BC + AD = 4 + 4 + 9 + 9 = 26 centimeters.

Answer: the total length of all sides of the parallelogram (perimeter) is 26 centimeters.

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