The nodal values for a rectangular element is given as follows, \(x_{i}=0.25 \mathrm{~cm}\), \(y_{i}=0.20 \mathrm{~cm}, x_{j}=0.30 \mathrm{~cm}, y_{m}=0.25 \mathrm{~cm}, T_{i}=150^{\circ} \mathrm{C}, T_{j}=120^{\circ} \mathrm{C}, T_{k}=100^{\circ} \mathrm{C}, T_{m}=110^{\circ} \mathrm{C}\) Calculate

(a) The temperature at the point \(C(x=0.27 \mathrm{~cm}, y=0.22 \mathrm{~cm})\).

(b) \(x, y\) coordinates of the isotherm \(130^{\circ} \mathrm{C}(\mathrm{c})\) Evaluate \(\partial T / \partial x\) and \(\partial T / \partial y\) at the point \(C\).