The peak can be found by using:
$$\text{V}_\text{R}=\text{V}_\text{in}=\text{I}_\text{R}\cdot\text{R}=\text{I}_\text{in}\cdot\text{R}\tag1$$
And the RMS can be found by finding:
$$\overline{\text{I}}_\text{R}=\overline{\text{I}}_\text{in}=\sqrt{\frac{1}{\frac{1}{4}-0}\int_0^\frac{1}{4}\text{I}_\text{R}^2\space\text{d}x}=\sqrt{\frac{1}{\frac{1}{4}-0}\int_0^\frac{1}{4}\text{I}_\text{in}^2\space\text{d}x}=$$$$\frac{1}{100}=\overline{\text{I}}_\text{R}=\overline{\text{I}}_\text{in}=\sqrt{\frac{1}{\frac{1}{4}-0}\int_0^\frac{1}{4}\text{I}_\text{R}^2\space\text{d}x}=\sqrt{\frac{1}{\frac{1}{4}-0}\int_0^\frac{1}{4}\text{I}_\text{in}^2\space\text{d}x}=$$ $$\sqrt{\frac{1}{\frac{1}{4}-0}\int_0^\frac{1}{4}\left(\frac{\text{V}_\text{R}}{\text{R}}\right)^2\space\text{d}x}=\sqrt{\frac{1}{\frac{1}{4}-0}\int_0^\frac{1}{4}\left(\frac{\text{V}_\text{in}}{\text{R}}\right)^2\space\text{d}x}\tag2$$