Question
The area of the region bounded by the pairs of lines $$y = \left| {x - 1} \right|$$ and $$y = 3 - \left| x \right|$$ is :
A.
$$3\,{\text{uni}}{{\text{t}}^2}$$
B.
$$4\,{\text{uni}}{{\text{t}}^2}$$
C.
$$6\,{\text{uni}}{{\text{t}}^2}$$
D.
$$2\,{\text{uni}}{{\text{t}}^2}$$
Answer :
$$4\,{\text{uni}}{{\text{t}}^2}$$
Solution :
$${\text{Area}} = \sqrt 2 \times 2\sqrt 2 $$
$${\text{Area}} = \sqrt 2 \times 2\sqrt 2 $$