On the sides AB and CD of the quadrilateral ABCD, such points E and F are taken, respectively
| March 10, 2021 | education
On the sides AB and CD of the quadrilateral ABCD, such points E and F are taken, respectively, that the straight line EF is the axis of symmetry. Find the area of the quadrilateral ABCD IF the area of the quadrilateral AEFD is 82 dm2
If EF is the axis of symmetry of the quadrilateral ABCD, then AE = BE, DF = CF, BC = AD. It follows from this that the quadrangle AEFD = EBCF, that is, 82 sq. dm. From this it follows that the area of the quadrilateral ABCD is equal to twice the area of the AEFD, that is, 164 sq. dm.
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