SOLUTION: If an equation is dimensionally correct, then must the equation be true? why or why not?

Question 343778: If an equation is dimensionally correct, then must the equation be true? why or why not?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, a true equation must also be dimensionally correct but some dimensionally correct equations are not true.
As an example,
The area of a square is equal to the perimeter of the square multiplied by the length of the side of the square.

Dimensionally, the units are correct (Area=Length^2)
But the equation is not true.
The area of a square is actually .
True and dimensionally correct.

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