If equation \(\left|\dfrac{x}2\right|+\left|\dfrac{y}2\right|=5\) encloses a certain region on the coordinate plane, wha

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If equation \(\left|\dfrac{x}2\right|+\left|\dfrac{y}2\right|=5\) encloses a certain region on the coordinate plane, what is the area of this region?

A. 20
B. 50
C. 100
D. 200
E. 400

Answer: D

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