Sum no 27 plz

Sum no 27 plz (2.27 The area of the small square in the given fiJL1re is 64 sq.cm. Then the area of the big square l) 96 sq.cm 2) 128 sq.cm 4) 216 sq,cm

dear student
since the diagonal of the smaller square is the diameter of the circle
and the diameter of the circle is equal to the side of the bigger square
hence,
we now solve for diagonal
since the are of the smaller circle is 64cm sq.
therefore the side of the smaller square is 8cm
now using pythagoras theorem in any triangle formed by 2 sides of square and the diagonal
diagonal=$\sqrt{8^2+8^2}$
=8$\sqrt{2}$ 
hence the side of the bigger square is =8$\sqrt{2}$ 
hence the area is=(8$\sqrt{2}$ )²
=128 cm sq.
regards
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