Question

A square has an area of 81x square cm. What is the perimeter of the square ?

Answer 1

The perimeter of the square is
`36√(x)\ cm`

Explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

`A=b^(2)`

where

b is the length side of the square

we have

`A=81x\ cm^(2)`

substitute and solve for b

`81x=b^(2)`

square root both sides

`b=9√(x)\ cm`

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

`P=4b`

we have

`b=9√(x)\ cm`

substitute

`P=(4)9√(x)`

`P=36√(x)\ cm`