Problem 261

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Problem 261: (2006 AMC 10b, 20)

In rectangle $ABCD$, we have $A=(6,-22)$, $B=(2006,178)$, $D=(8,y)$, for some integer $y$. What is the area of rectangle $ABCD$? $\mathrm{(A) \ } 4000\qquad$ $ \mathrm{(B) \ } 4040\qquad$ $ \mathrm{(C) \ } 4400\qquad$ $ \mathrm{(D) \ } 40,000\qquad$ $ \mathrm{(E) \ } 40,400$

Solution

Exercise 261: Solution

In rectangle $ABCD$, we have $A=(0,0), B=(200,20), D=(2,y)$, for some integer $y$. What is the area of rectangle $ABCD$?

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