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The figure KLMN below is a scale drawing of a rectangular piece of land of length KL = 80 m
a. On the figure, construct:
i. the locus of a point P which is both equidistant from points L and M and from lines KL and LM. (3 marks)
ii. The locus of a point such that 2 KQL. = 90o (3 marks)
b. i. Shade the region R bounded by the locus of Q and the Locus of points equidistant from KL and LM. (1 mark)
ii. Find the area of the region R in m2 . (Take Pi = 3.142) (3 marks)