Read the following statements carefully:
Statement 1: Money is a commodity which is generally accepted as a medium of exchange.
Statement 2: Money solved the problem of double coincidence of wants.
Statement 1: Money is universally accepted as a medium of exchange, which makes it a key feature in economic transactions.
Statement 2: Money overcomes the limitation of barter systems, including the problem of double coincidence of wants, by allowing indirect exchanges.
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 \(P,O,Q\).