Area of Trapezium


 
 
Concept Explanation
 

Area of Trapezium

Area of a Trapezium : 

A trapezium is a quadrilateral whose two sides are parallel. In the figure, AB and CD are its two parallel sides while AD and BC are its non-parallel sides. 

Base Each of the two parallel sides of a trapezium is called a base of the trapezium.

Area of a trapezium is computed with the following formula: 

   Area= frac{1}{2}times(Sum;of;Parallel;sides)times Height

Illustration: The area of a trapezium shaped field is 480 large ^{m^{2}}, the height is 15 m and one of the parallel side is 20 m. Find the other side.

Solution: We have, Area of trapezium ABCD = 480 large ^{m^{2}} 

 Rightarrow frac{1}{2}(AB+CD)times AL = 480

Rightarrow frac{1}{2}(20+CD)times 15 = 480

  Rightarrow 20+CD=frac{480times 2}{15}

  20 + CD = 64:  CD = 64 - 20 = 44m     

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Find  the height of the trapezium if its area is 132 sq .in and the lengths of the bases are 18 in and 18 in?

 

Right Option : A
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Explanation
Question : 2

Find the area of a trapezium whose parallel sides are 57 cm , 33 cm and the distance between them is 13cm.

Right Option : B
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Explanation
Question : 3

Area of trapezium is 850 sq cm, one of the parallel sides is 64 cm and the perpendicular side is 17 cm, find the length of other parallel sides:

Right Option : C
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Explanation
 
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