Question

A square has an area of 56 cm².

What is the perimeter, in cm, of the square? Give your answer in its simplest form.

Answer 1

The formula for the area of the square is s*s or s^2

We can use this formula to find the sides of the square.

s^2=56

to get rid of the square, square root both sides of the equation

`√(56)`=s

simplify root of 56

56 is divisible by 4, a perfect square root

`√(14*4)`

2
`√(14)`

s=2
`√(14)`

the perimeter of a a square is 4s

4(2
`√(14)`)

8
`√(14)`

the perimeter is 8
`√(14)`