We are in the Peak District Derbyshire. Prices here are at a premium .....hardly any land for sale, and when there is any there is a lot of people after it, hence the high price per acrea. Most land is now sold by informal tender, so you do not know what other people are bidding,and therefore you have to bid high to get it.
We paid just over £7,000 per acre, for two lots, totalling just over 9 acres. Smaller parcels of land here go for a lot more. An acre paddock sold for £25,000, and 10 acres near us has just sold for £10,000 per acre.