SOLUTION: Show that a square whose diagonal has length d has perimeter 2sqrt2d.

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Question 404446: Show that a square whose diagonal has length d has perimeter 2sqrt2d.
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
diagonal = d
apply pythagoras theorem
Let the legs be x each
..
d^2= x^+x^2
d^2=2x^2
divide by 2
d^2/2= x^2
x=+sqrt%28d%5E2%2F2%29
x=d%2F%28sqrt%282%29%29
Perimeter = 4*length
Perimeter+=+4%2Ad%2F%28sqrt%282%29%29
Perimeter+=+2sqrt%282%29%2Ad