Answer: [tex]= 240x^2[/tex]
Step-by-step explanation:
Area of the entire frame = [tex](16x)^2 = 256x^2[/tex]
Area of the mirror = area of a circle = [tex]\pi r^2[/tex]
= [tex]\pi(4x)^2[/tex]
Area of the metal frame surrounding the mirror = square area - circle area
[tex]= (16x)^2-(4x)^2[/tex]
[tex]= 240x^2[/tex]