Question 1172871
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
{{{drawing(300,300,-7,7,-2,10,
locate(-2,6.5,A), locate(-5.5,2,B), locate(2.5,2,C), locate(5,6.5,D),
green(line(-5,2,-2,6)), green(line(-2,6,5,6)),
green(line(5,6,2,2)), green(line(2,2,-5,2)),blue(line(-2,6,-2,2))  )}}}
Parallelogram:  Parallel Sides are Equal in Length
P = 2AD + 2AB = 100cm
Let x = AB, then AD = 2x + 5
Substitute:
2(2x+5) + 2x = 100cm
4x +10 + 2x = 100cm
6x = 90cm
x = 15cm  and (2x+5) = 35cm
2*30cm + 2*35cm = 100cm  Checks!
AB and DC  have Lengths of 15cm
AD and BC  have Lengths of 35cm
Wish You the Best in your Studies.