find the distance between the longer sides of the parallelogram, you can use the formula for the area of a parallelogram:
Area = base × height
In this case, the shorter side of the parallelogram (9 cm) is the base, and the given distance between the shorter sides (8 cm) is the height. Therefore:
Area = 9 cm × 8 cm = 72 square cm
Now, to find the length of the longer side, you can use the area and the other given side (12 cm):
Area = base × height
72 square cm = 12 cm × length of the longer side
Now, solve for the length of the longer side:
Length of the longer side = 72 square cm / 12 cm = 6 cm
the distance between the longer sides of the parallelogram is 6 cm.