Answer:
The width of the framing material is 3 inches
Step-by-step explanation:
we know that
The area of the frame and photograph combined is given by the expression
[tex]156=(7+2x)(6+2x)[/tex]
solve for x
Expanded the expression
[tex]156=42+14x+12x+4x^2\\4x^2+26x+42-156=0[/tex]
[tex]4x^2+26x-114=0[/tex]
solve the quadratic equation by graphing
using a graphing tool
The solution is x=3 in
see the attached figure
therefore
The width of the framing material is 3 inches