Measure all four sides of your silk rug, and cut a piece of canvas to match the exact size of your rug using a small saw.
Cut a piece of Velcro the length of two opposing sides of your rug; do top and bottom or the sides, depending on your preference.
Sew the soft side of your Velcro to the opposite sides of your rug. Use thread that matches the rug and will blend and sew in tight small stitches. Sewing will not damage your rug.
Secure your tougher piece of Velcro to the edges of your canvas that correspond to the edges of the rug you sewed the softer pieces to, using super glue or a staple gun. For example if you sewed pieces of Velcro to the long sides of your rug, you will want to secure the same-sized tougher pieces to the long sides of your canvas.
Secure your rug to the canvas by attaching the Velcro pieces to the corresponding pieces you glued or stapled onto your canvas.
Hang your canvas onto the wall as you would a canvas painting, measuring out the side of your canvas you will hang on the nails and hammering nails into the wall accordingly.