Answer:
Step-by-step explanation:
Area of rectangles
The area of a rectangle of dimensions x and y is
[tex]A=xy[/tex]
The picture frame measures x and x-2 inches. The picture opening measures (x - 1) by (x + 1) inches. The external area of the frame is
[tex]A_e=(x)(x-2)=x^2-2x[/tex]
The area of the picture opening is
[tex]A_o=(x-1)(x+1)=x^2-1[/tex]
The ares of the frame, not including the picture opening is the difference
[tex]A(x)=A_e-A_o=x^2-2x-(x^2-1)=-2x+1[/tex]
[tex]A(x)=-2x+1\ inches[/tex]
