MathDB

The rectangle with vertices

(0,0)

(0,3)

(2,0)

and

(2,3)

is rotated clockwise through a right angle about the point

(2,0)

, then about

(5,0)

, then about

(7,0

), and finally about

(10,0)

. The net effect is to translate it a distance

10

along the

x

-axis. The point initially at

(1,1)

traces out a curve. Find the area under this curve (in other words, the area of the region bounded by the curve, the

x

-axis and the lines parallel to the

y

-axis through

(1,0)

and

(11,0)

Problem Statement