Suggestion

Find the dimensions of the rectangle whose perimeter is \(\quantity{36}{m}\) and which is such that the square of the length of the diagonal is \(\quantity{170}{m^2}\).

Could we draw a helpful picture of the rectangle, with the two side lengths as \(x\) and \(y\)?

Can we use the information in the question to write down two equations in \(x\) and \(y\)?