diagonal of a square is 10√2
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diagonal of square=10√2
let side of square =x
we know that all sides are equal in a square
applying Pythagoras theorem
side^2+side^2=hypotenuse square
here hypotenuse=diagonal
therefore x^2+x^2=(10√2)^2
2x^2=200
x^2=100
x=√100=10
perimeter of square = 4× side of square (x)
perimeter of square=4×10=40 units
area of square=x^2=(10)^2=100 square units
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