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(384) 2

Part of 1993 Tournament Of Towns

Problems(1)

TOT 384 1993 Autumn A J2 equal sums of areas of pairs of quads

Source:

6/12/2024
The square PQRS PQRS is placed inside the square ABCDABCD in such a way that the segments APAP, BQBQ, CRCR and DSDS intersect neither each other nor the square PQRSPQRS. Prove that the sum of areas of quadrilaterals ABQPABQP and CDSRCDSR is equal to the sum of the areas of quadrilaterals BCRQBCRQ and DAPSDAPS.
(Folklore)
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