7.9k views
2 votes
A square has an area that is less than 100 m2. What is a reasonable range for the graph of the square’s side?

User Schmudu
by
8.2k points

2 Answers

5 votes

Answer:

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)

User Nico Westerdale
by
7.9k points
4 votes
square's side range is (√0,√100) =(0,10); this more than 0 and less than 10.
User Tom Dalton
by
8.5k points

No related questions found