Question

A square has an area that is less than 100 m2. What is a reasonable range for the graph of the square’s side?

Answer 1

The range of the square's side is between 0 and 10 meters.

Explanation:

The area of a square is defined as:

Area = x*x

Where x is the length of the square's side. It also could be writing as:

Area =
`x^(2)`

Then, the question say that the area is less than 100 m^2, which means that the area have a value below 100 m^2. This is equivalent to write:

Area <
`100m^(2)`

`x^(2) < 100m^(2)`

Now we can solve for x and obtain:

`x^(2) < 100m^(2)`

`x<\sqrt[2]{100m^(2)}`

`x<10m`

Finally for getting a reasonable range for the square's side is logic to use a positive number and a number that also fulfill with this last condition (x<10m).

So, the range for the square's side is number greater than zero and smaller than 10 meters. It also could be writing as: (0,10)

Answer 2

square's side range is (√0,√100) =(0,10); this more than 0 and less than 10.