Find the area of a parallelogram if its base = 8 cm, sides = 6, and an acute angle = 45 °.

The area of the parallelogram is equal to the product of the base and the height drawn to this base. We lower the height and consider a triangle formed by this height and a side equal to 6 cm. This triangle is rectangular with an acute angle of 45 °. We can find the height:

6 * sin45 ° = 6 * √2 / 2 = 3√2 cm.

Now we can find the area of our figure:

8 cm * 3√2 cm = 24√2 cm2.