Step 1: Write out the coordinates of the rectangle given

Step 2: Write out the expression of the polar coordinates
The polar coordinates is given as
![\begin{gathered} (r,\theta) \\ r=\sqrt[]{x^2+y^2)} \\ \tan \theta=(y)/(x) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/b6ul1ml7u61drbs2fmjli678oefyz1nf8k.png)
Step 3: Solve for the polar coordinates using the formula
![\begin{gathered} x=-4;y=2 \\ r=\sqrt[]{(-4)^2+2^2} \\ r=\sqrt[]{16+4} \\ r=\sqrt[]{20} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/x6fyzi8e3csyl860m1cm0n7rkje4chfuj9.png)


Since tan is negative in the second quadrant, the value of the angle will be

Hence, the polar coordinates is (4.47, 153.45°)