Question

123

An expression representing the area of a square is 4n". For what value(s) of n is the expression 4n
reasonable?
Choose the correct answer below.
OA. The value of n must be zero.
OB. The value of n can be any number other than zero.
C. The value of n must be a positive number.
OD. The value of n must be a negative number.

Answer 1

The value of n must be a positive number.

Explanation:

Area of a square is given by
`$a^2$` where
`$a$` is the side of the square.

Now, given the area of the square is
`$4n$`.

OA) If the area had been zero, i.e.,
`$n = 0$` then it means that there is no square at all.

OB) Also, it can not be any other number other than zero as this can include negative numbers as well. And an area being negative makes no sense. (OD) is eliminated as well.

So, the area should be positive.