CEMC Fermat, 2008

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, the shaded region is bounded by the $x$ -axis and the lines $y=x$ , and $y=-2x+3$ . The area of the shaded region is

(A) $\dfrac{3}{4}$ (B) $\dfrac{3}{2}$ (C) $\dfrac{9}{4}$ (D) $1$ (E) $\dfrac{\sqrt{10}}{4}$

Figure for this problem

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