The area of a trapezium is 850 sq cm . one of the parrallel sides are is 64 cm and the perpendicular distance between the parallel side is 17 cm find the length of other parallel side
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Let h be the distance or height , a & b the parallel sides.
Then area of trapezium = 850
1/2 (a+b)h = 850
(64 + b) x 17 = 850 x 2
64 + b = 1700/17
64 + b = 100
b = 100 - 64
b = 36 cm
Therefore, the other parallel side is 36 cm
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Step-by-step explanation:it is given that area of trapezium is 850 sq cm
let other parallel side be x
we know that,
area of trapezium = 1/2*sum of the parallel sides*height
850 sq cm = 1/2*(64+x)*17
850*2/17 = 64+x
100-64 = x
36 = x
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