BdMO Problem 9
Geometry
Level
2
ABCD is a parallelogram with area 100 square meters. P, Q, R, S are four points on AB, BC, CD and DA respectively. AP=DR. What is the area of PQRS?
The answer is 50.
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1 solution
AP is parallel to DR and also equal to DR. So APRD and PRCB both are parallelograms. SPR is half of APRD. PQR is half of PRCB. So, PQRS is half of ABCD. Ans:50