Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

Area of Rhombus is 31.176 unit² (Approx.)

Length of rhombus side = 6 unit

Angle = 120°

Area of Rhombus

Area of Rhombus = Side²(Sin θ)

Area of Rhombus = 6²(Sin 120)

Area of Rhombus = 36(0.866)

Area of Rhombus = 31.176 unit² (Approx.)

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The area of a rhombus is square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

Multiply both sides by 6.

The height of the rhombus is .

Area of a rhombus is

Therefore, the area of a rhombus is square units.

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