10, Area of a parallelogram is 625 m2, Find the length of sides of parallelogram if altitudes corresponding to sides are 20 m and 25 m,
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Given,
Altitudes corresponding to sides = 20m and 25m
Area of parallelogram = 625 m²
To find,
The length of sides of parallelogram.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the length of side which is corresponding to the altitude of 20m = x metres
And, the length of side which is corresponding to the altitude of 25m = y metres
Now, area of parallelogram = base × height
So,
Area of parallelogram = 20×x = 20x m²
And also,
Area of parallelogram = 25×y = 25y m²
According to the data mentioned in the question,
20x = 625
x = 31.25
And also,
25y = 625
y = 25
Hence, the length of sides of parallelogram 31.25 m and 25 m.
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