If the length of the diagonal of a square is 20 cm. then its perimeter must be : Options: A . &nbsp`10sqrt(2)` cm. B . &nbsp40 cm. C . &nbsp`40sqrt(2)`cm D . &nbsp200 cm.

If the length of the d

Question

If the length of the diagonal of a square is 20 cm. then its perimeter must be :

Options:

A . `10sqrt(2)` cm.

B . 40 cm.

C . `40sqrt(2)`cm

D . 200 cm.

Answer: Option C

d = `sqrt(2)` x l

`rArr l = 20/sqrt(2)`

`:.` perimeter = (4l) cm = `((2 xx 20)/(sqrt(2)) xx (sqrt(2))/(sqrt(2)))` cm = `40sqrt(2)`

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