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

A trapezium ABCD has legs 14 cm and 12 cm in length. Its bases are 19 cm and 21 cm respectively. Find the perimeter of the trapezium.

Right Option : A
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Question : 2

Calculate the perimeter of a trapezium of height 5 cm if its parallel sides are 4 cm and 10 cm and its non-parallel sides are 6 cm and 8 cm.

Right Option : C
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Explanation
Question : 3

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
 
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