Question

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

Answer 1

Answer:

The perimeter of the square is $36\sqrt{x}\ cm$

Step-by-step 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

$b=9\sqrt{x}\ cm$

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

$P=4b$

we have

$b=9\sqrt{x}\ cm$

substitute

$P=(4)9\sqrt{x}$

$P=36\sqrt{x}\ cm$