Try getting the perimeter using bwboundaries() then using fitPolynomialRansac() (in the Computer Vision Toolbox) to get the equation of one of the sides.
boundaries = bwboundaries(binaryImage);
Then use regionprops() to find the centroid and bounding box
props = regionprops(binaryImage, 'BoundingBox', 'Centroid');
and crop it out and rotate it and paste it back in. I'm attaching copy and pasting image demos.