SOLUTION: If the area of a rhombus is 252 and the perimeter is 84, what is the altitude? I have tried to use the area equation on A=1/2xy. I can not get it to work out. Please help.

Algebra ->  Parallelograms -> SOLUTION: If the area of a rhombus is 252 and the perimeter is 84, what is the altitude? I have tried to use the area equation on A=1/2xy. I can not get it to work out. Please help.      Log On


   



Question 570599: If the area of a rhombus is 252 and the perimeter is 84, what is the altitude?
I have tried to use the area equation on A=1/2xy. I can not get it to work out. Please help.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
If the area of a rhombus is 252 and the perimeter is 84, what is the altitude?
The perimeter 84 is the sum of all 4 sides.  Since a rhombus has 4 equal sides,
each side is 1%2F4 of 84 or 21 each:  



Draw the altitude (in green), label it h:



The area of a parallelogram (and a rhombus IS a parallelogram) is

Area = base×altitude

The base is the bottom side or 21, the altitude is h and the area is 252.

 252 = 21×h
 
 252%2F21 = h
  12 = h

So the altitude is 12.

Edwin