if the length of a diagonal of a square is 20 cm, then its perimeter is
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Diagonal of square = 20 cm.
We know that Area of Square = 1/2 × d²
= 1/2 × 20 × 20
= 10×20
= 200 cm².
Also, area = side²
So,
side = √area
side = √200
Side = 10√2 cm.
Perimeter= 4 × side
= 4 × 10√2
= 40√2 cm.
Hence the perimeter of the square is 40√2 cm.
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