Question

The area of small square is $100sq.cm$. The area of the large square in $sq.cm$ is

• A. $144$
• B. $165$
• C. $200$
• D. $400$

Answer 1

Answer: (C)

$200$

Small square area $=100c{m}^2$

$s^2=100c{m}^2$

$s=10cm$

Diagonal of square $=10\sqrt{2}$

Half the diagonal length$=$radius of circle $=\frac{10\sqrt{2}}{2}$

$=5\sqrt{2}$

Diameter of circle$=$length of side of big square=diagonal of smaller square =$10\sqrt{2}$

Area of big square$=(10\sqrt{2}{)}^2$

$=200c{m}^2$.