Perimeter of Trapezium


 
 
Concept Explanation
 

Perimeter of Trapezium

Perimeter of A Trapezium:

The perimeter of a trapezoid is the sum of the lengths of its four sides.

Illustration:  If the perimeter of a trapezium be 52 cm, its non- parallel sides are equal to 10 cm each and its altitude is 8 cm, find the area of trapezium.

Solution : We have,  Perimeter of the trapezium = 52 cm, Altitude of the trapezium = 8 cm

Sum of the parallel sides + Sum  of the non-parallel sides =52 cm : Sum of the parallel sides = (52 - 20 ) cm =32 cm.

large therefore   Area ;of ;the; trapezium =frac{1}{2}times(Sum ;of ;the; parallel; sides) times Altitude

                                                      =frac{1}{2} times 32 ;times 8;cm^{2} = 128; cm^{2}

Sample Questions
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Question : 1

Find the perimeter of the given figure :

Right Option : B
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Explanation
Question : 2

What is the perimeter of the trapezoid if the sum of lengths of non-parallel sides is 5 units, the height of the trapezoid is 20 units, the length of one of the bases is 10 units and the area is 80 square units?

Right Option : B
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Explanation
Question : 3

A trapezium ABCD has non parallel sides as 16 cm and 21 cm in length. Its bases are 24 cm and 34 cm respectively. Find the perimeter of the trapezium.

Right Option : B
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Explanation
 
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