Mathematics

Problem

Lines

2x+3y=12

and

x-y=1

meet at

A

. With

D

at the origin, let

B

be the point on the

x

-axis directly below

A

and

C

the point on the

y

-axis directly left of

A

, forming rectangle

ABCD

whose sides are parallel to the axes. Calculate the area of rectangle

ABCD