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

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

Right Option : A
View Explanation
Explanation
Question : 2

Find the altitude of a trapezium whose area is 65 cm^2 and whose bases are 13 cm and 26 cm.

Right Option : B
View Explanation
Explanation
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
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
Chapters
Content / Category
Class / Course
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English
Language - English
Language - English

Language - English
Language - English
Language - English

Language - English
Language - English
Language - English

Language - English
Language - English

Language - English
Language - English
Language - English



Students / Parents Reviews [20]