Question

D
In fig, ABCD is a parallelogram and P is mid-point
of AB. If ar(APCD) = 36 cm2, then ar(AABC) =
(1) 36 cm
(2) 48 cm2
(3) 24 cm
(4) None of these
16​

Answer 1

Answer:

Step-by-step explanation:

GIVEN

X is the m.p. of AB

ar.AXCD=24cm^2

TO FIND

the ar.ABC

SO,

ar.AXC=1/2 ar.ABC (CX is the median as X is the m.p.)

ar.ABC=ar.ADC (AC is the diagonal and the diagonal divides the //gm into 2                                      cong.triangles)

Ar.AXCD=1/2 ar.ADC+ADC

AR.AXC=1/3 ADC=8cm^2

hence ar.ABC=8*2=16cm^2