Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

In the diagram, $ABCD$ forms a parallelogram, with $AB = BD = DC = 10\,\text{cm}$ and $\angle ABD = 0.8$ radians. The arcs $APD$ and $BQC$ are sections of circles centred at $B$ and $D$ respectively.
(i)[2]

Calculate the area of parallelogram $ABCD$.

(ii)[2]

Calculate the area of the complete figure $ABQCDP$.

(iii)[2]

Calculate the perimeter of the complete figure $ABQCDP$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the sine rule or cosine rule correctly to the triangle so that $10^2\sin0.8$ is obtained.

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