Fill in the blanks to make the correct statement.

If the diagonal d of the quadrilateral is doubled and the heights h1 and h2 is falling on d are halved, then the area of quadrilateral is _________.

Let ABCD be a quadrilateral ,where h1 and h2 are height on the diagonal BD = d


Then , area of quadrilateral ABCD = (h1 + h2)BD


= × 2d


= (h1 + h2) × d


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