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Let the length of 1st parallel side be x m,
the length of 2nd parallel side be y m,
Given,
Difference between them = 16 m
= > x m - y m - 16 m
= > x - y = 16 ....( i )
Now,
We know that the formula for the area of trapezium is 1 / 2 ( sum of parallel side ) x height ( or distance between parallel side )
Applying formula : -
= > 300 m^2 = 1 / 2 ( x m + y m )15 m
= > 300 m^2 / 15 m = 1 / 2 ( x m + y m )
= > 20 m = 1 / 2 ( x + y ) m
= > 40 = x + y ...( ii )
Now, Adding ( i ) and ( ii ),
x - y = 16
x + y = 40
_________
2x = 56
_________
x = 56 / 2
x = 28
Substitute the value of x in ( i )
= > x - y = 16
= > 28 - y = 16
= > 28 - 16 = y
= > 12 = y
Therefore, the length of parallel sides is 28 m and 12 m.
abhi569:
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