The length of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128 cm2. The distance between the parallel sides is

Given


Length of parallel sides is 19 cm and 13 cm


Area of trapezium= 128 cm2


Let Height (h) =y cm


We know that area of trapezium is × (sum of parallel sides) × height


Therefore Area of trapezium is × (19 +13) × y =128 cm2.


× (19 +13) × y =128


⇒ × (32) × y =128


⇒ 16 × y =128


⇒ y = = 8 cm


... Distance between the parallel lines is 8 cm.

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