# The height BK, drawn to the side AD of the parallelogram ABCD, divides this side into 2

October 16, 2021 | education

| **The height BK, drawn to the side AD of the parallelogram ABCD, divides this side into 2 segments AK = 7cm, KD = 15cm. Find the area of the parallelogram if the angle is A = 45 °**

The area of a parallelogram can be found by the formula: S = h * a, where S is the area, h is the height, a is the base.

Since the angle is A = 45 °, AK = 7cm, the height h is equal to:

h = AK = 7cm.

The base is equal to:

AK + KD = 7 + 13 = 20cm.

The required area is equal to:

S = 7 * 20 = 140 cm ^ 2.

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