SOLUTION: Could you tell me if I'm on the right track with this question? Thank you. A picture frame measures 40cm by 30cm and 704cm^2 of picture shows. Find the width of the frame. (3

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Could you tell me if I'm on the right track with this question? Thank you. A picture frame measures 40cm by 30cm and 704cm^2 of picture shows. Find the width of the frame. (3      Log On


   

Question 1035729: Could you tell me if I'm on the right track with this question? Thank you.
A picture frame measures 40cm by 30cm and 704cm^2 of picture shows. Find the width of the frame.
(30-2x)(40-2x)=704
4x^2-140x+1200=704
4x^2-140x+496=0
(x-4)(x-31)
x=4 or x=31


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if you are assuming that the border around the picture is the same size, then you are correct.
you got x = 4 or x = 31.
x can't be 31 because the length and the width would be negative, which is not possible.
therefore, x = 4 is the only possible solution.