Question

Question #9ede3

Answer 1

The perimeter of the square is `40m`

Explanation:

According to the question the area of the square is `100m^2`

The area of a square can be given by `color(red)a xx color(red)a` where `color(red)a` is the length of the side of the square.

Therefore `color(red)(a^2)=` Area of the square

`color(red)(a^2)=100`

Now we take a square root on both sides.

`sqrt(color(red)(a^2)` `=sqrt100`

We know `sqrt(color(red)(a^2)` `= color(red)a` and `sqrt(100)=10`

Therefore `color(red)a=10m`

The length of one side of the square is `10m`
As the length of all `4` sides of a square is equal `->`

`color(red)a xx 4=` Perimeter of the square

`10 xx 4=40m`