Tell your landlord to fuck off. Grab a small bottle of carpenters glue and a ratchet strap at Lowes. Slather it all over the MDF, clamp the thing back together and let it dry. Anybody who thinks that cheezy MDF cabinets will last for thirty years in a rental, without falling apart, is a crack head. The entire cabinet was probably less than $100 when new, has exceeded it service life, and is valueless,as in zero. A thirty year old particle board kitchen in a rental is worth nothing, minus the cost of bashing it apart and hauling it away, so less than nothing. Exactly how much does this shitbag think his precious drawer is worth?
BTW, if you shop for cabinets, you have to really hit bottom and dig, to find drawers built of particle board. I have installed some bottom of the barrel kitchens, and the cheapest of them had drawers with thin plywood sides, glued and stapled together, and a hardboard bottom that slide in a rabbited groove, and hot glued in place.