Question

A square has an area of 81 square inches. What is its perimeter?

Answer 1

Explanation:

In order to find the perimeter we need to find the length first ...

...Here, the area is already given ...

Area = 81 inches square

length = ?

Now....

( The formula of area is l × l )

`area = {l}^(2)`

`81 = {l}^(2)`

Now we should find square root of 81...

`l = √(81)`

`l \: = 9`

Now we find length so it's easy for us to find perimeter...

The formula of perimeter of square is 4l ..

= 4l

= 4 × 9

= 36 inches

hence the answer is 36 inches....

Answer 2

Area of square =
`s^2` where,
`s` is the side length of the square.

`81=s^2`

`9=s`

s must be positive since it is a side length, so the negative root of 81 is rejected.

Perimeter=
`4s`

Perimeter=
`4(9)=36inches`