Respuesta :

wegnerkolmp2741o

Answer:

A = 4cm^2

Step-by-step explanation:

The perimeter of a square is given by

P = 4s  where s is the side length

8 = 4s

Divide each side by 4

8/4 = 4s/4

2 =s

The side length is 2 cm

The area of a square is given by

A = s^2

A = 2^2

A = 4cm^2

Ben

[tex]\huge{\boxed{\text{4 cm}^2}}[/tex]

All side lengths of a square are equivalent, so one of them can be represented by [tex]s[/tex].

There are four sides on a square, so the perimeter is [tex]4s[/tex]. [tex]4s=8[/tex]

Divide both sides by [tex]4[/tex]. [tex]s=2[/tex]

The area of a square is [tex]s^2[/tex]. [tex]2^2[/tex]

Solve the exponent. [tex]\boxed{4}[/tex]