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  1. ABCD is a parallelogram P, Q, R and S are points on sides AB, BC, CD and DA respectively such that AP = DR. If the area of the parallelogram ABCD is 16 cm2, then the area of the quadrilateral PQRS is:


    1. 6 cm2
    2. 6.4 cm2
    3. 4 cm2
    4. 8 cm2
    5. None of these
Correct Option: D

ABCD is a parallelogram.
Given :- The area of the parallelogram ABCD = 16 cm2

Area of (ΔPRS + ΔPQR) = 1AD (AP + PB)
2
area of the quadrilateral PQRS = 1AD × AD = 8cm2
2



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