SOLUTION: if i'm given one length of a rectangle and one diagonal of a rectangle how to i find the perimeter?

Algebra ->  Rectangles -> SOLUTION: if i'm given one length of a rectangle and one diagonal of a rectangle how to i find the perimeter?      Log On


   

Question 393020: if i'm given one length of a rectangle and one diagonal of a rectangle how to i find the perimeter?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the length is L and the diagonal is D. By the Pythagorean theorem,

D%5E2+=+L%5E2+%2B+W%5E2

W+=+sqrt%28D%5E2+-+L%5E2%29

Therefore, 2L+%2B+2W+=+2L+%2B+2sqrt%28D%5E2+-+L%5E2%29