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

Did you know that the perimeter of a square is simply the total length of all four sides added together? So, if the perimeter is 8 cm, each side is 8 cm divided by 4, which equals 2 cm. From here, you can easily find the length of the diagonal using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse. By applying this to our square, the formula for the length of the diagonal \(d\) can be derived as \(d = s\sqrt{2}\), where \(s\) is the length of a side. With each side measuring 2 cm, the diagonal becomes \(2\sqrt{2} \mathrm{~cm}\). So that's your answer—how neat is that?