Given: ABCD-parallelogram AE-bisector of angle BAD AB = 7 cm EC = 3cm. Find: the perimeter of the parallelogram.

1. In accordance with the properties of the parallelogram, the bisector AE separates the triangle from it

ABE, two sides of which are equal:

AB = BE = 7 centimeters.

2. BC = BE + CE = 7 + 3 = 10 centimeters.

3.Calculate the perimeter of the parallelogram (P), taking into account that the sides of this geometric

the figures opposite each other are equal:

P = 2 (BC + AD) = 2 x (10 + 7) = 34 centimeters.

Answer: P = 34 centimeters.




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