# 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 isA. 9 cmB. 7 cmC. 8 cmD. 12.5 cm

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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