# Square diagonal

Calculate the length of the square diagonal if the perimeter is 476 cm.

Result

d =  168.29 cm

#### Solution:

$o=476 \ \text{cm} \ \\ \ \\ o=4a \ \\ \ \\ a=o/4=476/4=119 \ \text{cm} \ \\ \ \\ d^2=a^2 + a^2=119^2 + 119^2=28322 \ \\ \ \\ d=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 119 \doteq 119 \ \sqrt{ 2 } \doteq 168.2914 \doteq 168.29 \ \text{cm}$

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