SOLUTION: The area of a rectangular picture frame is 112cm squared. If the frame is 6 centimeters longer than it is wide, what are the length and width of the picture frame?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The area of a rectangular picture frame is 112cm squared. If the frame is 6 centimeters longer than it is wide, what are the length and width of the picture frame?      Log On

 

Hi,

     .

Lw = 112cm^2

L = (w+6)

........

(w+6)w = 112

w^2 + 6w -112 = 0  (Tossing out the negative solution for unit measure)

(w + 14)(w - 8) = 0

w = 8cm  and L = 14cm 

And..checking