# Calculate the area of the parallelogram if its sides are 6cm and 11cm, and the height forms

March 24, 2021 | education

| **Calculate the area of the parallelogram if its sides are 6cm and 11cm, and the height forms an angle of 30 ° on the smaller side.**

1. Vertices of the parallelogram – A, B, C, D. S – area of the parallelogram. ВK – height (drawn to the AD side). ∠АВК = 30 °. AB = 6 centimeters. AD = 11 centimeters.

2. We calculate the length of the height ВK through the cosine ∠АВК:

BK: AB = cosine ∠ABK = cosine 30 ° = √3 / 2.

BK = AB x √3 / 2 = 6 x √3 / 2 = 3√3 centimeters.

3. S = AD x BK = 11 x 3√3 = 33√3 centimeters².

Answer: S equals 33√3 centimeters².

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