How to plot a box onto an existing convex hull graph?

I have two sets of data, XData and YData, with a bunch of points. I plot a scatter of the points, then plot a convex hull of the points:

figure(a); scatter(XData,YData); hold on;
Hull               = convhull(XData,YData);
HullCoordinates    = [XData(Hull),YData(Hull)];

plot(HullCoordinates(:,1),HullCoordinates(:,2));
title('Title')
xlabel('X (lbs)')
ylabel('Y (lbs)'); 
grid on; hold off;

However, I'd also like to plot the limits in both axes as a box:

figure(a); scatter(XData,YData); hold on;
Hull            = convhull(XData,YData);
HullCoordinates = [XData(Hull),YData(Hull)];

XLimit  = 50;
YLimit2 = 100; 
Coordinates       = [XLimit,YLimit; XLimit,-YLimit; -XLimit,YLimit; -XLimit,-YLimit];
Limits            = convhull(Coordinates);
LimitCoordinates  = [Coordinates(Limits)];

plot(LimitCoordinates(:,1),BoundHullCoordinates(:,2));

plot(HullCoordinates(:,1),HullCoordinates(:,2)); 
title('Title')
xlabel('X (lbs)')
ylabel('Y (lbs)'); 
grid on; hold off;

But this doesn't work. I suspect that I am approaching the problem of creating a box from 4 coordinates given x-intercept and y-intercept bounds incorrectly. What should I change?

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Answer 1

[KSSV]

XData = rand(100,1) ;
YData = rand(100,1) ;
figure(1); scatter(XData,YData); hold on;
Hull               = convhull(XData,YData);
HullCoordinates    = [XData(Hull),YData(Hull)];
% Get bounding box 
x0 = min(XData) ; x1 = max(XData) ;
y0 = min(YData) ; y1 = max(YData) ;
B = [x0 y0 ; x1 y0; x1 y1; x0 y1 ; x0 y0] ; 

plot(HullCoordinates(:,1),HullCoordinates(:,2));
plot(B(:,1),B(:,2),'g')
title('Title')
xlabel('X (lbs)')
ylabel('Y (lbs)'); 
grid on; hold off;