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Two adjacent sides of a parallelogram are 15cm and 10cm. If the distance between the longer sides is 8cm, find the area and the distance between the shorter sides.

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Final answer:

The area of the parallelogram is 120 cm², and the distance between the shorter sides is 8 cm.

Step-by-step explanation:

To find the area of a parallelogram, you multiply the base by the height (the distance between the bases). Given that one side is 15 cm (which we can take as the base) and the distance between the longer sides is 8 cm (which is the height), the area is calculated as follows:

Area = base × height = 15 cm × 8 cm = 120 cm2.

The distance between the shorter sides is the same as the height of the parallelogram when the longer side is considered as the base. Since this has not changed and is given as the distance between the longer sides, it remains 8 cm.

In summary, the area of the parallelogram is 120 cm2, and the distance between the shorter sides is 8 cm.

User Simon Baars
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