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In parallelogram A B C D the longer side is twice the shorter side. Let X Y Z W be the quadrilateral formed by the internal bisectors of the angles of A B C D . If the area of X Y Z W is 10 , find the area of A B C D .

Correct answer

40

Step-by-step solution

As angle bisector and are same. The is isosceles so all the eight triangle will be of equal area Then Required Area = ( 2 3 10 ) B 2 10=40

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