Adjacent sides of parellogram are 36cm and 27cm in length. If the perpendicular distance btn. the shorter sides in 12cm,what is the distance btn. The longer sides?
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To find the distance between the longer sides of a parallelogram, we can use the formula for the area of a parallelogram:
Area = Base x Height
In this case, the base is the shorter side of the parallelogram, which measures 27 cm. The height is the perpendicular distance between the shorter sides, which is given as 12 cm.
Therefore, the area of the parallelogram is:
Area = 27 cm x 12 cm = 324 cm²
Now, we know that the area of a parallelogram can also be calculated as the product of the longer side length and the distance between the longer sides. Let's say the distance between the longer sides is 'd' cm.
Thus, we have:
Area = Longer side length x d
Since we have already calculated the area to be 324 cm² and the longer side length is given as 36 cm, we can substitute these values into the equation:
324 cm² = 36 cm x d
To find the distance 'd', we can rearrange the equation:
d = 324 cm² ÷ 36 cm
d = 9 cm
Therefore, the distance between the longer sides of the parallelogram is 9 cm.