MathDB

The area in square units of the region enclosed by parallelogram

ABCD

is
[asy] unitsize(24); pair A,B,C,D; A=(-1,0); B=(0,2); C=(4,2); D=(3,0); draw(A--B--C--D); draw((0,-1)--(0,3)); draw((-2,0)--(6,0)); draw((-.25,2.75)--(0,3)--(.25,2.75)); draw((5.75,.25)--(6,0)--(5.75,-.25)); dot(origin); dot(A); dot(B); dot(C); dot(D); label("

y

",(0,3),N); label("

x

",(6,0),E); label("

(0,0)

",origin,SE); label("

D (3,0)

",D,SE); label("

C (4,2)

",C,NE); label("

A

",A,SW); label("

B

",B,NW); [/asy]

\text{(A)}\ 6 \qquad \text{(B)}\ 8 \qquad \text{(C)}\ 12 \qquad \text{(D)}\ 15 \qquad \text{(E)}\ 18

Problem Statement