Solution: Let h 1 and h2 be perpendicular to AB and DC, respectively.

Let ah = a.

BH=b

∵

Parallelogram ABCD, EF and GH are parallel lines AB and AD respectively.

∴

Quadrilateral EPGD and quadrilateral BHPF are also parallelograms.

It's also VIII

Vertical line h 1, h2

∴

The height of △PHB and △ △PED are h 1 and h2, respectively.

∵

S△BPD = S△ Abd -S△PED-S△PHB-S□AHPE

s△ABD = 1/2(a+b)(h 1+H2)

S△PED= 1/2*a*h2

S△PHB= 1/2*b*h 1

∴

Expanded s △ bpd =1/2 * a * h1+1/2 * b * H2-3.

∵

S□AHPE=a*h 1=3

S□FPGC=b*h2=5

∴

S△BPD= 1.5+2.5-3= 1