The parallelogram has a base of 8 cm and corresponding height of 4 cm. The parallelogram is changed proportionally and is dilated by a scale factor of ½. What is the area of the new reduced parallelogram after the dilation occurs?

The area of the new reduced parallelogram after dilation is 8 cm^2

Step-by-step explanation:

Mathematically, the area of a parallelogram = b * h

before dilation, area of the parallelogram = 8 * 4 = 32 cm^2

After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm

Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2