2011 AMC 10A Problem 9


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(B) acad\textbf{(A)}\ ac+ad+bc+bd\qquad\textbf{(B)}\ ac-ad +bcbd+bc-bd

(C) ac+adbcbd(D) acad+bc+bd(E) acadbc+bd\textbf{(C)}\ ac+ad-bc-bd\qquad\textbf{(D)}\ -ac-ad+bc+bd\qquad\textbf{(E)}\ ac-ad-bc+bd

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Category: AMC 10A
Points: 1
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