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Area of region y=a, y=-b, x=-c, x=d

Source: 2011 AMC a Problem 9

June 25, 2011
geometryrectangleAMC

Problem Statement

A rectangular region is bounded by the graphs of the equations y=a,y=−b,x=−c,y=a, y=-b, x=-c, and x=dx=d, where a,b,c,a,b,c, and dd are all positive numbers. Which of the following represents the area of this region?
(A)\ ac+ad+bc+bd\qquad(B)\ ac-ad+bc-bd\qquad(C)\ ac+ad-bc-bd   \qquad(D)\ -ac-ad+bc+bd\qquad(E)\ ac-ad-bc+bd
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