# Is the "area of a playground" discrete or continuous? Why?

Aug 13, 2017

See explanation.

#### Explanation:

It is a continuous value.

A variable is discrete if it can take only a finite set of values, a continuous variable can take every real value from a specified interval.

An example of a discrete calue is the sum of values thrown on 2 dice

This variable is a discrete one because it can only take $11$ values: $2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10$ and $11$.

The area of a playground can take any real value in an interval (0;100).

The lower limit is geometrically defined. The area of a figure cannot be negative. The upper bound is only my supposition. I assume a playground is something small, so it cannot (in my opinion) be larger than $100 {m}^{2}$. So I defined an interval from which any real value can be taken. Thus the variable is a continuous one.