keep in mind that silk might stretch lengthwise in time, wool might likely shrink.

Use provisional cast on, make the chain as long as both pink and maroon pieces;

start knitting from pink color (10 stitches x 333 rows); knit until the yarn is almost finished, leave a little yarn for joining, don’t bind off, secure the stitches on a pin;

maroon color (15 st x or until it’s the same length as the pink piece), cast on on the same provisional chain as the pink piece; do not bind off, secure the stitches on a pin;

starting from the provisional cast-on, stitch pink and maroon bands using the mattress stitch (use the thinner maroon yarn), then join each band separately using seamless Kitchener join;

cast on the variegated yarn on the side ( sts x rows); knit until all the yarn is finished;
knit one more row with angora yarn, then bind off;

cast on the green yarn (10 st x rows) separately on a provisional cast on; when it reaches the length of the other pieces, sew it to the variegated piece, then seamlessly join the ends of the green piece using the Kitchener stitch.

Wash and block.