Question

the area of trapezium is 850 square centimetre one of the parallel side is 64 cm and the perpendicular distance between the parallel side is 17 cm find the length of other parallel side

Answer 1

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Here is the solution:

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Area of a trapezium = 1/2 ( a + b ) h

Given that the area is 850 cm², height = 17 cm and one of the parallel side is 64 cm.

Define x:

Let the other unknown parallel side be x

Form equation and solve x:

1/2 (x + 64) (17) = 850

Multiply both sides by 2:

17 (x + 64) = 1700

Divide both sides by 17:

x + 64 = 100

Subtract 64 from both sides:

x = 36 cm

Answer: The length of the other parallel line is 36 cm