To find the area of a parallelogram, you can use the formula:
Area = base × height
However, when you only know the lengths of the sides and the angle between them, the formula can be adjusted. The area can also be calculated using:
Area = a × b × sin(θ)
Where:
- a and b are the lengths of the sides.
- θ is the angle between these sides.
In this case, you have:
- a = 6
- b = 12
- θ = 60 degrees
Now, plug the values into the formula:
Area = 6 × 12 × sin(60)
The sine of 60 degrees is approximately 0.866 (or you can use the exact value, which is √3/2). So:
Area = 6 × 12 × 0.866
Calculating this gives:
Area ≈ 6 × 12 × 0.866 = 62.32
Thus, the area of the parallelogram is approximately 62.32 square units.