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
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Question : 1

The area of a trapezium is 176 sq cm. The distance between parallel sides is 8cm and one of the parallel sides is 10cm. Find the other sides.

Right Option : B
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Explanation
Question : 2

The area of a trapezium is 28 cm^2 and one of its parallel sides 6 cm. If its altitude is 4 cm then its other parallel side is :

Right Option : A
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Question : 3

The length of the parallel sides of a trapezium are in the ratio 3:2 and the distance between them is 10 cm.if the area of trapezium is 375 cm .find the length of the parallel sides.

Right Option : B
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Explanation
 
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