Given that the area of parallelogram MNOP is 48 square units and MX= 3, find the length of the diagonal NP. Figure: http://www.flickr.com/photos/93084714@N07/8594014140/in/photostream
In parallelogram OPMN , diagonal PN divides it into two congruence triangle OPN and NMP.
area of triangle (OPN) = area of triangle (PMN)
Area of Triangle (PMN)=(1/2) area of parallelogram OPMN
=(1/2) . 48
area of traingle (PMN)= (1/2) x 3 x PN
24 = (1/2) x 3 x PN
PN = 16 unit