Answer:
[tex]16z+64[/tex]
Step-by-step explanation:
Area of a square = [tex]x^2[/tex] (where [tex]x[/tex] is the length of one side)
Side length of smaller square = [tex]z[/tex]
⇒ area of smaller square = [tex]z^2[/tex]
Side length of large square = [tex](z+8)[/tex]
⇒ area of large square = [tex](z+8)^2[/tex]
Shaded area = area of larger square - area of smaller square
⇒ shaded area = [tex](z+8)^2-z^2[/tex]
= [tex]z^2+16z+64-z^2[/tex]
= [tex]16z+64[/tex]
