If the perimeter of a square is 8 cm , what is une lengen or une clagonair $$ 2 \sqrt{2} \mathrm{~cm} $$ 4 cm O $$ 4 \sqrt{2} \mathrm{~cm} $$ $$ \frac{\sqrt{2}}{2} \mathrm{~cm} $$

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To determine the diagonal of a square given its perimeter, follow these steps:

1. **Calculate the Side Length:**
   - The perimeter $$ P $$ of a square is given by:
     $$
     P = 4 \times \text{side length}
     $$
   - Given $$ P = 8 $$ cm:
     $$
     \text{side length} = \frac{P}{4} = \frac{8}{4} = 2 \text{ cm}
     $$

2. **Calculate the Diagonal Length:**
   - The diagonal $$ d $$ of a square can be found using the Pythagorean theorem:
     $$
     d = \text{side length} \times \sqrt{2}
     $$
   - Substituting the side length:
     $$
     d = 2 \times \sqrt{2} = 2\sqrt{2} \text{ cm}
     $$

**Answer:**  
$$ 2 \sqrt{2} \mathrm{~cm} $$
The diagonal of the square is $$ 2\sqrt{2} $$ cm.

If the perimeter of a square is 8 cm , what is une lengen or une clagonair \( 2 \sqrt{2} \mathrm{~cm} \) 4 cm O \( 4 \sqrt{2} \mathrm{~cm} \) \( \frac{\sqrt{2}}{2} \mathrm{~cm} \)

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