A built$-$up section is shown in Figure $1.$ Calculate the following sectional properties of the section with respect to X$-$X and Y$-$Y axis. $1\mathrm{.}1$ The position of centroid. $1\mathrm{.}2$ The second moment of area about x$-$x$,$ Ixx $1\mathrm{.}3$ The second moment of area about about y$-$y$,$ Iyy $1\mathrm{.}4$ The radius of gyration, rx and ry $1\mathrm{.}5$ The elastic section modulus, Ze $1\mathrm{.}6$ The plastic section modulus, Zp All dimensions are in millimetres. X Y $30$ Y $30[8][7][4][4][2][5]353030703030$