Question

The section inside the border is x inches and (12-x) inches wide. How do I write a function to represent the area a of the section inside the border

Answer 1

The function to represent the area a of the section inside the border is
`A=12x-x^2`

Explanation:

Given section inside the border is
`x` inches and
`(12-x)` inches.

We need to write the function to represent the area of the section inside the border.

We can see the length of border is
`x` and width of the border is
`(12-x)`.

So, the area of the rectangle will be
`length* width`

The area
`(A)` will be

`A=x(12-x)\\\\A=12x-x^2`

So, the function to represent the area a of the section inside the border is
`A=12x-x^2`