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semsee45

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]

chetankachana

Answer:

16z + 64

Step-by-step explanation:

Hello!

First, we find the area of the blue square, pretending that there is no part cut out.

Area:

[tex](z+8)(z+8)\\\\\\(z+8)^2\\\\\\z^2 + 16z + 64[/tex]

Now, subtract the missing area from the total area:

[tex]z^2 + 16z + 64 - (z * z)\\\\z^2 + 16z + 64 - z^2\\\\16z + 64[/tex]

The answer is 16z + 64

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