Answer:
Length:28 cm
Width: 13 cm
Step-by-step explanation:
Let
x ---> the length of a rectangle picture frame
y ---> the width of a rectangle picture frame
we know that
The area of a rectangle picture frame is equal to
[tex]A=xy[/tex]
we have
[tex]A=364\ cm^2[/tex]
so
[tex]364=xy[/tex] ----> equation A
The length of a rectangle picture frame is 2 centimeters more than twice it’s width
so
[tex]x=2y+2[/tex] ---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (28,13)
see the attached figure
therefore
Length:28 cm
Width: 13 cm