Question

ABCD is a square of side $24$ cm. All other squares are constructed by joining the mid points of each line segment. What is the area of square WXYZ?

Answer 1

The Length of $AD$ is $24cm$

The length of $GH$ is half of its diagonal $i.e.,12\sqrt{2}$

The Length of $GH$ is $12\sqrt{2}cm$

The length of $PM$ is half of its diagonal $i.e.,12$

The Length of $PM$ is $12cm$

The length of $WZ$ is half of its diagonal $i.e.,6\sqrt{2}$

The area of square is given as $6\sqrt{2}\times 6\sqrt{2}=72c{m}^2$