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Mathematics

If the area of a trapezium is 32 cm2 and distance between its parallel sides is 8 cm; the sum of length of its parallel side is :

  1. 4 cm

  2. 16 cm

  3. 8 cm

  4. 12 cm

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Answer

Given, area of a trapezium = 32 cm2

Distance between its parallel sides = 8 cm

By formula,

Area of trapezium = 12\dfrac{1}{2} x (sum of parallel sides) x distance between the parallel sides

⇒ 32 = 12\dfrac{1}{2} x (Sum of parallel sides) x 8

⇒ 32 = Sum of parallel sides x 4

⇒ Sum of parallel sides = 324\dfrac{32}{4}

⇒ Sum of parallel sides = 8 cm.

Hence, option 3 is the correct option.

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