# how to generate points inside a rectangle not parallel to axis in Matlab

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Dear all,
I want to generate points inside a rectangle that is not parallel to the axis and have only the length, width, center, and degree of tilt. of the rectangle. Can any one help me with it please. I'm writing down some of the code. Thank you in advance.
z=[ 34.7814 29.7298 41.9441 28.3367 12.8067];
w=z(1); %width
h=z(2);%length
x=z(3);% center
y=z(4);%center
alpha=z(5); %degree of tilt
xv = [-w/2 w/2 w/2 -w/2 -w/2];
yv = [h/2 h/2 -h/2 -h/2 h/2];
R = [xv;yv];
alpha2=alpha*pi/180;
ct = cos(alpha2);
st = sin(alpha2);
Q = [ct -st;st ct];
XY1 = Q*R;
XY=[XY1(1,:)+x;XY1(2,:)+y];
center=(XY(:,1)+XY(:,3))/2;
Dear Matt,
Thank you for helping me. it works fine.
Best

Matt J on 18 Oct 2021
Edited: Matt J on 18 Oct 2021
You mean you want to generate N random points? If so, then,
xy=Q*([length;width].*(rand(2,N)-0.5)) + center(:)
I just needed to change the locations of the width and length [width;length]
best

R2014a

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