Question

The perimeter of a square is 8cm. Work out the area of the square.

Answer 1

`\huge{\boxed{\text{4 cm}^2}}`

All side lengths of a square are equivalent, so one of them can be represented by
`s`.

There are four sides on a square, so the perimeter is
`4s`.
`4s=8`

Divide both sides by
`4`.
`s=2`

The area of a square is
`s^2`.
`2^2`

Solve the exponent.
`\boxed{4}`

Answer 2

A = 4cm^2

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