Question

The area of a trapezium is 850 sq.cm. One of the parallel sides is 64 cm and the perpendicular distance between the parallel sides is 17 cm. Find the length of other parallel side.

Answer 1

✔✔Heya here is ur answer ☺!!
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Given,
area of trapezium= 850sq.cm
one side = 64cm
height = 17cm
let another side be x
from the problem,
Area of trapezium = 1/2× h(a+b)
=> 850= 1/2×17 (64+x)
=> 850×2/17 = 64+x
=> 100= 64+x
=> 100-64= x
=> 36= x

therefore the length of other parallel side is 36cm....

Thank you

Hope it helps uh☺

Answer 2

Let the length of other side be X cm.


Distance between two parallel side's = 17 cm.

Area of trapezium = 850



1/2 × ( Sum of parallel sides ) × Distance between parallel sides = 850



1/2 × ( 64 + X ) × 17 = 850



64 + X = 50 × 2



X = 100 - 64



X = 36 cm.


Hence,

Length of other parallel sides = X = 36 cm.