 Under Coke of Norfolk , the great @-@ nephew and heir of the builder , extensive improvements were made to the park and by his death in 1842 it had grown to its present extent of over 3 @,@ 000 acres ( 12 km2 ) . As well as planting over a million trees on the estate Coke employed the architect Samuel Wyatt to design over a number of buildings , including a series of farm buildings and farmhouses in a simplified neo @-@ classical style and , in the 1780s , the new walled kitchen gardens covering 6 acres ( 24 @,@ 000 m2 ) . The gardens stand to the west of the lake and include : A fig house , a peach house , a vinery , and other greenhouses . Wyatt 's designs culminated in c . 1790 with the Great Barn , located in the park half a mile south @-@ east of the obelisk . The cost of each farm was in the region of £ 1 @,@ 500 to £ 2 @,@ 600 : Lodge Farm , Castle Acre , cost £ 2 @,@ 604 6s . 5d. in 1797 – 1800 . The lake to the west of the house , originally a marshy inlet or creek off the North Sea , was created in 1801 – 03 by the landscape gardener William Eames . 
