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Mathematics

The area of a trapezium is 80 square unit. If its two parallel sides are 6 unit and 14 unit; the distance between parallel sides is :

  1. 4 unit

  2. 8 unit

  3. 12 unit

  4. 1 unit

Area Trapezium Polygon

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Answer

Given:

The lengths of the parallel sides of the trapezium are 6 unit and 14 unit.

The area of a trapezium = 80 square unit

Let d be the distance between parallel sides.

The area of a trapezium is 80 square unit. If its two parallel sides are 6 unit and 14 unit; the distance between parallel sides is : Area of a Trapezium and a Polygon, Concise Mathematics Solutions ICSE Class 8.

As we know, the area of a trapezium = 12\dfrac{1}{2} x (sum of parallel sides) x height

⇒ 12\dfrac{1}{2} x (6 + 14) x d = 80

⇒ 12\dfrac{1}{2} x 20 x d = 80

⇒ 10 x d = 80

⇒ d = 8010\dfrac{80}{10}

⇒ d = 8 unit

Hence, option 2 is the correct option.

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