Even though a stretch of green weeds and grass looks daunting, it takes less work than you'd think to get it back looking good. All those weeds can be composted and will, in a short time, be improving your soil and making your veg grow better.
Options for tackling a plot like this include weedkiller (the right one, used carefully), weed-proof fabric (high quality stuff is available at a very cheap price from the TRADING STORE - click on the words to go there), or just getting down there and digging the weeds out by hand - not as hard as it sounds and great for the waistline!