2003 CEMC Pascal Problems/Problem 8

Problem

What is the area of rectangle $ABCD$ ?

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$\text{ (A) }\ 15 \qquad\text{ (B) }\ 16 \qquad\text{ (C) }\ 18 \qquad\text{ (D) }\ 30 \qquad\text{ (E) }\ 9$

The area of a rectangle is its width multiplied by its height. The width is $BC$ , while the height is $CD$ .

Since $B$ and $C$ have the same y-coordinate and $C$ and $D$ have the same x-coordinate, finding $BC$ and $CD$ is straightforward:

$BC = 4 - (-1) = 5$

$CD = 5 - 2 = 3$

We then have:

$[ABCD] = BC \times CD = 5 \times 3 = \boxed {\textbf {(A) } 15}$

~anabel.disher