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Step-by-step explanation:
1)
diagonal is 10 √2 centimetre,
all sides of a square are equal
let all sides be x,
also the angles of a square are 90°each
so each angle forms a right angle with the diagonal
therefore by Pythagoras theorem
(hypotenuse)²=(base)²+(height)²
(10✓2)²=x²+x²
100×2= 2x²
200 / 2 =x²
100=x²
x=10. taking square roots on both the sides
hence, the perimeter =x+x+x+x
=4x
=4*10
=40
hence the perimeter is 40cm
the answer is option d) 40cm
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