Question

in general, can the area of a rectangle be written as a function in one variable? can it be written as a function in two variables? explain your reasoning. in general, the area of a rectangle depends on so it requires therefore, the area of a rectangle be written as a function of one variable and be written as a function of two variables.

Explanation:

The area formula of a rectangle is $A = l\times w$, where $l$ is length and $w$ is width. In general, both length and width are independent dimensions. So it requires two variables. Thus, it cannot be written as a function of one - variable in general, but can be written as a function of two variables.

Answer:

In general, the area of a rectangle depends on length and width so it requires two variables. Therefore, the area of a rectangle cannot be written as a function of one variable and can be written as a function of two variables.