The Area of a Region R Is Given by the Iterated

Multiple Choice

The area of a region R is given by the iterated integrals $\int _ { 0 } ^ { 2 x } 16 d y d x + \int _ { 2 } ^ { 4 } \int _ { 0 } ^ { 4 - x } 16 d y d x$ Switch the order of integration and show that both orders yield the same area. What is this area?

A) 32
B) 1025
C) 64
D) 771
E) 63