On a graph sheet, using a scale of 2cm to 2 units on both axes,
(a) Draw the straight line joining points P(-5, 3) and Q(2, 3);
(b) construct the locus L of points equidistant from P and Q;
(c) by construction, locate points R and S on L, such that PRQS forms a rhombus of sides 5cm;
(d) find : (i) coordinates of R and S; (ii) area of the rhombus in cm\(^{2}\).
Explanation
Coordinate of R and S : R(-1.6, 6.5) and S(-1.6, 0.6).
Area of rhombus PRQS : \(\frac{(5 + 2) \times (6.5 + 0.6)}{2} = \frac{49.7}{2}\)
= \(24.85 cm^{2}\)