MR-687 / 8.) problem

The area of the parallelogram is 36 m2, and the distances between the intersecting point of the diagonals and the sides are 2 m and 3 m. Calculate the perimeter of the parallelogram.

ha2=2

ha=2·2=4

hb2=3

hb=2·3=6

A=a·ha=b·hb=36

A=a·4=b·6=36

a=364=9

b=366=6

P=2a+b=29+6=2·15

P=30