These large red areas of igneous rock were formed by melting during volcanic activity.
Magma intrusion and subsequent solidification deep within the Earth's crust are what created these sizable red areas of igneous rock, or batholiths. The Sierra Nevada batholiths are particularly notable features in Nevada and along the coast of California. The subduction of oceanic plates beneath the continental crust and the intense tectonic activity that resulted produced these batholiths.
Intense heat and pressure produced by the oceanic plate's descent cause the mantle to melt and produce magma. After rising and penetrating the crust above, the magma cools and solidifies over millions of years to create the massive igneous rock formations that are visible today. The geological history and processes that shaped the area can be better understood thanks to these batholiths.
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The complete question is "These large red areas of igneous rock were formed by melting during which geological process? (Hint: Note this is along the coast of California and a little inland in Nevada)"