Egui ScrollArea part of a Rect

I'm trying to create a ScrollArea that will have bounds that start at a certain (x, y) screen coordinates and end at a (z, w) screen coordinates. In other words, I want to create an arbitrary <div> (in html terms) that has fixed width and height and is placed in an arbitrary spot on the screen.

What I have right now is this:

It appears the text is outside of where the container is, but it seems to have the correct bounds.

Here is what I want the result to look like:

Here's the code I have tried at the moment:

let rect = Rect::from_min_max(pos2(80.0, 80.0), pos2(280.0, 280.0));
let frame = egui::Frame::none()
    .fill(Color32::from_rgb(232, 12, 232))
    .paint(rect);

ui.painter().add(frame);

egui::ScrollArea::vertical()
    .max_height(280.0 - 80.0)
    .max_width(280.0 - 80.0)
    .show(ui, |ui| {
        ui.add(Label::new("long text".repeat(99)));
    });

Full code:

use eframe::egui::{self, *};

fn main() {
    let native_options = eframe::NativeOptions::default();

    eframe::run_native(
        "Arbitrary Scroll",
        native_options,
        Box::new(|_| Box::new(MyEguiApp)),
    )
    .unwrap();
}

struct MyEguiApp;

impl eframe::App for MyEguiApp {
    fn update(&mut self, ctx: &egui::Context, _frame: &mut eframe::Frame) {
        egui::CentralPanel::default().show(ctx, |ui| {
            let rect = Rect::from_min_max(pos2(80.0, 80.0), pos2(280.0, 280.0));
            let frame = egui::Frame::none()
                .fill(Color32::from_rgb(232, 12, 232))
                .paint(rect);

            ui.painter().add(frame);

            egui::ScrollArea::vertical()
                .max_height(280.0 - 80.0)
                .max_width(280.0 - 80.0)
                .show(ui, |ui| {
                    ui.add(Label::new("long text".repeat(99)));
                });
        });
    }
}

Any advice?

egui uses a sort of cursor to remember where to draw next, but painting does not advance that cursor or influence it in any way. You have to Ui::allocate_* to advance the cursor to the correct position. Specifically you can use Ui::allocate_ui_at_rect to allocate a specific rect of the remaining surface. And then just render to that.

impl eframe::App for MyEguiApp {
    fn update(&mut self, ctx: &egui::Context, _frame: &mut eframe::Frame) {
        egui::CentralPanel::default().show(ctx, |ui| {
            let rect = Rect::from_min_max(pos2(80.0, 80.0), pos2(280.0, 280.0));
            let frame = egui::Frame::none()
                .fill(Color32::from_rgb(232, 12, 232))
                .paint(rect);

            ui.painter().add(frame);
            ui.allocate_ui_at_rect(rect, |ui| {
                egui::ScrollArea::vertical()
                    .max_height(280.0 - 80.0)
                    .max_width(280.0 - 80.0)
                    .show(ui, |ui| {
                        ui.add(Label::new("long text".repeat(99)));
                    });
            });
        });
    }
}