Solutions to this question by accurate drawing will not be accepted. In the diagram above, we have a

Question

Solutions to this question by accurate drawing will not be accepted. In the diagram above, we have a trapezium $ABCD$. The line $BC$ has equation $2y + 8x = 6$ and $D$ has coordinates $(-4, 0)$. $B$ cuts the $y$-axis. Given that $DC$ is perpendicular to $BC$, find $C$. Find $A$. Calculate the area of $ABCD$.

Accepted Answer

(a) $C = \left( \frac{8}{17}, \frac{19}{17} \right)$ (b) $A = (-12,0)$ (c) $16.5$ unit$^2$ (to $3$ s.f.)

Coordinate Geometry - Area of Rectilinear Figures

Coordinate Geometry - Area of Rectilinear Figures

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