Question

Please help need this to be answered asap

Answer 1

16z + 64

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

Answer 2

`16z+64`

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`