SOLUTION: If a square region has area x, what is the length of the diagonal in terms of x? (A) root x (B) Root 2x (C) 2 Root x (D) x Root 2 (E) 2x The answer should be 2 Root x but

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If a square region has area x, what is the length of the diagonal in terms of x? (A) root x (B) Root 2x (C) 2 Root x (D) x Root 2 (E) 2x The answer should be 2 Root x but      Log On

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Question 337757: If a square region has area x, what is the length of the diagonal in terms of x?
(A) root x
(B) Root 2x
(C) 2 Root x
(D) x Root 2
(E) 2x
The answer should be 2 Root x but i cannot figure out the reason why it should be answer choice C.


Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the area is x square units, then the side length is sqrt%28x%29 units. To find the diagonal, simply multiply the given side length by sqrt%282%29 to get sqrt%28x%29%2Asqrt%282%29=sqrt%282x%29

So the answer is B)