Question 68

Mahesh has a toy which has the shape of a trapezium. The two sides which are parallel have a length of 60 cm and 77 cm and the other sides are 25 cm and 26 cm. He requests you to calculate the area and you help him to arrive at the correct answer which is sq.cm.
[Note:- DO NOT include spaces in your answer)


Correct Answer: 1644

Solution

We have :

Now h^2 +x^2 =625
and h^2 +(17-x)^2 =676
subtracting the equations we get 
34x=289+625-676
we get 34x =238
we get x=7
Therefore 
we get h =24
Therefore area = 1/2 (137)(24)
= 1644


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