A park walkway is designed in the shape of a pentagon with consecutive vertices…

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A park walkway is designed in the shape of a pentagon with consecutive vertices P(2,1), Q(7,1), R(9,4), S(6,7) and T(2,6). (i) Calculate the total length of fencing required to enclose the walkway, correct to one decimal place. (ii) For aesthetic lighting, lamps are to be installed at the midpoints of each side of the pentagon. Find the coordinates of these five midpoints.

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