A painters' term; the non-artistic meaning "tract of land with its distinguishing characteristics" is an extended sense from 1886. Similar formation in Old English landscipe "region," Old High German lantscaf, German Landschaft, Old Norse landskapr, Danish landskab "a region, district, province."
"scenery view," 1773, abstracted from landscape (n.); -scape as a combining element in word formation is attested by 1796, in prisonscape.
"art of laying out grounds and arranging plants and trees for picturesque effect," by 1861, verbal noun from landscape (v.). Earlier in the same sense was landscape-gardening (1763).
The question, however, is, Can landscape-gardening (or short and sweet, landscaping) be taught? It, plainly, cannot. ["The Gardener's Monthly" July 1861]
Also, in reference to the visual arts, "depiction as a landscape" (1868).