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

Answer:

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

Step-by-step 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 $length\times width$

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 $A=12x-x^2$