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Q.

The parallel sides of trapezium are 25cm and 11cm while its non parallel sides are 15cm and 13cm. Find area of the trapezium.


Class:                10


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a

216

b

300

c

750

d

560 

answer is A.

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Detailed Solution

We have ABCD is a trapezium whose side AB = 25cm, BC = 13cm, CD = 11cm , DA = 15cm
Draw a line DE which is parallel to BC. Hence forming parallelogram DEBC , DE = BC
then area of ΔDAE,
Area of triangle
= 84cm2
⇒ Draw DE ^ to E,
⇒ Area of ΔADE
⇒
⇒ h = 12cm
Area of parallelogram = 11×12 = 132cm2
Area of trapezium = 132+84
=216cm2
Hence option (1) is correct
  
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