The length of the diagonal of a square is 10 cm. What is area of this square?
A) 50 sq cm B) 100 sq cm C) 200 sq cm D) 25 sq cm
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Step-by-step explanation:
Diagonal of square = a × Root( 2 ) { where a is side of square }
Squaring both side , we get
( d ) ^2 = a ^2 × 2
10 × 10 = a^2 × 2
a ^ 2 = 50
a = Root ( 50 )
Now , side = Root( 50 )
area = side × side = Root ( 50 ) × Root ( 50 ) =50 sq.cm.
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