Question

if the perimeter of a square is 8 cm, what is the length of the diagonal? (1 point)
$\frac{sqrt{2}}{2}$ cm
$2sqrt{2}$ cm
4 cm
$4sqrt{2}$ cm

Explanation:

Step1: Find side length of square

Perimeter of square: $P=4s$, so $s=\frac{P}{4}=\frac{8}{4}=2$ cm

Step2: Calculate diagonal length

Use Pythagorean theorem: $d = s\sqrt{2}$
$d=2\sqrt{2}$ cm

Answer:

2√2 cm