Q. 104.7( 24 Votes )

In the given figure, ABCD is a trapezium in which cm,

cm and cm. find the area of the trapezium.


Answer :

Given


AD = 16 cm


BC = 40 cm


AC = 41 cm


ABC = 90


Height = AB =?


Here in ABC using Pythagoras theorem


AC2 = AB2 + BC2


412 = AB2 + 402


AB2 = 412 – 402


AB2 = 1681 – 1600 = 81


AB = 9


We know that area of trapezium is × (sum of parallel sides) × height


Therefore Area of trapezium = × (16 + 40) × 9 = 252 cm2.


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