Question

Please help need this to be answered asap

Answer 1

Answer:

$16z+64$

Step-by-step explanation:

Area of a square = $x^2$  (where $x$ is the length of one side)

Side length of smaller square = $z$

⇒ area of smaller square = $z^2$

Side length of large square = $(z+8)$

⇒ area of large square = $(z+8)^2$

Shaded area = area of larger square - area of smaller square

⇒ shaded area = $(z+8)^2-z^2$

                         = $z^2+16z+64-z^2$

                         = $16z+64$

Answer 2

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:

$(z+8)(z+8)\\\\\\(z+8)^2\\\\\\z^2 + 16z + 64$

Now, subtract the missing area from the total area:

$z^2 + 16z + 64 - (z * z)\\\\z^2 + 16z + 64 - z^2\\\\16z + 64$

The answer is 16z + 64