SOLUTION: The area of a rectangle is represented as 3x^2+5x-2 find algebraic equation to represent the dimensions of the rectangle

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Question 1153265: The area of a rectangle is represented as 3x^2+5x-2 find algebraic equation to represent the dimensions of the rectangle
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2%2B5x-2......factor completely
3x%5E2%2B6x-x-2
%283x%5E2%2B6x%29-%28x%2B2%29
3x%28x%2B2%29-%28x%2B2%29
%283x-1%29%28x%2B2%29

the dimensions of the rectangle are 3x-1 and x%2B2

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem and this question both MAKE NO SENSE.


There are INFINITELY MANY possible answers.


For example, the dimensions can be


    1    and     3x^2 + 5x -2;

    1/2  and  2*(3x^2 + 5x - 2);

    1/3  and  3*(3x^2 + 5x - 2),


and so on . . . 



Or this, different series of expressions


    (3x-1)  and  (x+2)

    (1/2)*(3x-1)  and  2*(x+2)

    (1/3)*(3x-1)  and  3*(x+2)

and so on . . . 


It is a typical example of posing a "quasi-" and "pseudo-" problem/problems, which, actually, make no sense.