The distance between the center of symmetry of a parallelogram and its longer side is equal to 12 cm. The area of the parallelogram is 720 cm^2 and its perimeter is 140 cm. Determine the length of the longer diagonal of the parallelogram.

please help :(

Question

The distance between the center of symmetry of a parallelogram and its longer side is equal to 12 cm. The area of the parallelogram is 720 cm^2 and its perimeter is 140 cm. Determine the length of the longer diagonal of the parallelogram.

please help :(

hartnn · Answer

Let the sides be 'x' and 'y' 
Perimeter = 2 (x+y)  =14 0 
so, x+y =70 
Area = xy = 720 
can you find the sides from here first ? x, y ?

anonymous · Answer

i am not really sure how, sorry :(

hartnn · Answer

the centre of symmetry is the intersection of diagonals, right ?? 

ok, 
can you verify the question once please ? because i am getting irrational values of 'x' and 'y' .....they may be correct, but still...

anonymous · Answer

|dw:1383628217042:dw| if my drawing is right, then it means that x = 2(12) right? then 140= 2(24)+2(y)...

y = 46 and x = 24 am i right?

hartnn · Answer

since its the distance given, i assume it will be |dw:1383556667321:dw|
but if its what you have done, then it simplify things...