The adjacent sides of a parallelogram are 36 cm and 27 cm in length, if the distance between the shorter sides is 12 cm, then the distance between the longer sides isOptions10 cm16 cm9 cm12 cm
Question
The adjacent sides of a parallelogram are 36 cm and 27 cm in length, if the distance between the shorter sides is 12 cm, then the distance between the longer sides isOptions10 cm16 cm9 cm12 cm
Solution
The distance between the longer sides of a parallelogram can be found using the formula for the area of a parallelogram, which is base times height (A = b * h).
Given that the base is 27 cm (the shorter side) and the area is also given by the product of the adjacent side and the distance between them (A = 36 cm * 12 cm), we can set up the following equation:
27 cm * h = 36 cm * 12 cm
Solving for h (the distance between the longer sides) gives us:
h = (36 cm * 12 cm) / 27 cm = 16 cm
So, the distance between the longer sides is 16 cm.
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