the area of a trapezium in 300 m the perpendicular distance between the two parallel side in 15 CM if the difference of the parallel side is 16 m find the length of the parallel side
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the distance between the parallel sides is 15cm or 15m?
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Step-by-step explanation:
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The area of trapezium is given =300m.
Let the area of trapezium be A...
Let the one side be a and the other side is a-16.....
A= 1/2× sum of parallel sides ×height
300 = 1/2 × (a + a-16) × 15.
= (a + a - 16) × 15 = 600 (300 × 2)
(2a-16) × 15 = 600.
(2a-16) = 600 / 15
(2a-16) = 40.
2a= 56 ( 40 + 16 )
a = 56/2
a = 28m
And...
a- 16 = 12m..
**The first side of the trapezium is 28m..
**The second side of the trapezium is
12m..
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