Mathematics - Point Question with Solution | TestHub

A $2\times 3$ rectangle has vertices at $(0,0),(2,0),(0,3)$, and $(2,3)$. It rotates $90^{\circ }$ clockwise about the point $(2,0)$. It then rotates $90^{\circ }$ clockwise about the point $(5,0)$, then $90^{\circ }$ clockwise about the point $(7,0)$, and finally, $90^{\circ }$ clockwise about the point $(10,0)$. (The side originally on the x -axis is now back on the x -axis.) The area of the region above the x -axis and below the curve traced out by the point whose initial position is $(1,1)$ is $\lambda$, then unit place of $\lambda$ is $\_\_\_\_$ [Take $\pi =\frac{22}{7}$ ]