QI PQRS is a parallelogram and A and B are any points on PQ and QR. If
ar(PQRS) = 48 cm then ar(APBS) is equal to
(a) 96 cm
(b) 36 cm
(c) 48 cm
(d) 24 cm
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Answer:
The area of triangle PBS = half the area of PQRS (equation-1)
the area of triangle ASR = half the area of PQRS (equation-2)
Reason is triangle and parallelogram on the same base and between the same parallel then triangle is half of parallelogram
add 1 and 2 equation
the area of PBS + the area of ASR = half the area of PQRS + half the area of PQRS
the area of PBS + the area of ASR = the area of PQRS
the area of PBS + the area of ASR = 48 square centimeter
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