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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