Generating employment in the formal sector is essential for the following reasons:
Job Security: Formal sector jobs provide job security, fixed wages, and social benefits like pensions and insurance.
Tax Revenue: Formal employment increases the taxable base, contributing to government revenue for development projects.
Skill Development: The formal sector focuses on training and skill enhancement, increasing workforce productivity.
Economic Stability: Stable employment in the formal sector reduces income disparities and ensures steady economic growth.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).