In the parallelogram KMNP, the bisector of the angle MKP is drawn which intersects the side MN

univerkov | May 16, 2021 | education

In the parallelogram KMNP, the bisector of the angle MKP is drawn which intersects the side MN at point E, find the perimeter of the parallelogram if ME = 2.4 cm, EN = 6.2 cm.

1. The bisector AE of the parallelogram KMNP cuts off the isosceles triangle KME from it. KM = ME = 2.4 centimeters.

2. MN = ME + NE = 2.4 + 6.2 = 8.6 centimeters.

3. Opposite sides of a parallelogram are equal. Therefore, KM = NP = 2.4 centimeters. MN = KP = 8.6 centimeters.

4. The total length of all sides of the parallelogram (perimeter) KM + NP + MN + KP = 2.4 + 2.4 +

8.6 + 8.6 = 22 centimeters.

Answer: the total length of all sides of the parallelogram (perimeter) is 22 centimeters.

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